Why is a Circle 360 Degrees, Why Not a Simpler Number, like 100?

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Why is a Circle 360 Degrees, Why Not a Simpler Number, like 100?

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Күн бұрын

A circle is 360 degrees But have you ever thought why is a circle not a simpler number, like 10 degrees or 100 degrees? As it turns out 360 is actually a very good number. From a purely mathematical standpoint, a number like 10 or 100 would have been more inconvenient.
You see, the number 360 is divisible by every number from 1 to 10, aside from 7. In addition to that, 360 has 24 divisors. This is the highest number of divisors for any positive whole number up to its own value of 360. This is just one of the reasons why a circle is 360 degrees.
In this video, we have discussed some other reasons that make 360 an idea number for calculations.
#circle #geometry #mathematics
References:
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Пікірлер: 2 800

@gavintillman1884 8 ай бұрын

Remember a maths lesson aged 11 where we were asked, why 360°. I offered that it was highly factorisable, and the teacher was, like, meh. The answer she was looking for was that 360 was close to the number of days in a year. Pleased to be vindicated some 46 years later!

@fishraposo7192 5 ай бұрын

My god that's a terrible lesson

@eta.tauri32 5 ай бұрын

Seems that maybe it wasn't as bad as it seems: I always thought 360 got the nod not only because it was so highly composite (I guessed that part correctly), but also because it happens to be very close to the number of days in a year, so that we have 1 second or arc being 1/60th of a minute, 1 minute of arc being 1/60th of a degree, 1 degree of arc being 1/360th of an Earth revolution (i.e., a day) and 1 Earth revolution being (roughly) 1/360th of a Solar orbit (i.e., a year). I'm sure that would have been a useful metric for early navigators to predict star positions and plot vectors therefrom.

@broderp 5 ай бұрын

You so smart.....

@catedoge3206 4 ай бұрын

yuh

@maxwellschmidt235 4 ай бұрын

I don't think the year length was unrelated to the circular degree measurement, but it doesn't explain why we still use the system- the decimal system of metric is only like 350 years old, so it's not like there was never a chance to overturn 360 as a measurement

@alimfuzzy 2 жыл бұрын

Fun fact: Babylonians had sixty fingers.

@indianhistorybuff 2 жыл бұрын

Interestingly they had Five fingers on one hand and four fingers with three parts each on the other hence counting sixty digits on hands.

@doggonemess1 2 жыл бұрын

@@indianhistorybuff No, no. They had 15 fingers on each hand and 15 toes on each foot.

@TinekeWilliams 2 жыл бұрын

Hahaha, my brother was born with 14 fingers and 14 toes. Inherited from my mothers father

@doggonemess1 2 жыл бұрын

@@TinekeWilliams Aha, your grandfather must have been 14/15ths Babylonian!

@aloysiusvo318 2 жыл бұрын

Yeah real funny

@Akirasip 7 ай бұрын

Thank you for explaining this. I lived for 3 decades and not even once heard anyone say why 360 is better than any other number, not even in school. I was always met with: "Well, it just is, live with it." I finally have understanding behind why that number is good for circles.

@SumErgoMonstro 7 ай бұрын

360 is also very close to the number of days in a year, so it’s better than 60 or some other highly-composite number

@andvil01 6 ай бұрын

They tried gradian with 400 gradians in a circle. Never hit. And we have radians. Little more useful.

@wallacem41atgmail 6 ай бұрын

The Indo-Arabic decimal-place notation system has become so ingrained in our civilization that few of us are aware that it's been around for only about fifteen-hundred years. For fun, try doing multiplication and/or division using Roman numerals and you will immediately see the problem. How does one write fractions using that system? With the 360-degree system, one almost always arrives at a whole number. One thing puzzles me though: How did the Indians come to develop a 10-base system in lieu of a 12-base one?

@Deontjie 6 ай бұрын

Good explanation, but 100 would have been a better choice. 400 even better.

@siliconhawk9293 6 ай бұрын

kinda knew the answer still watched it. coz why not

@jonassimon2412 6 ай бұрын

This makes a lot of sense. But why are the Americans using it then?

@maxwellschmidt235 4 ай бұрын

The irony here is that imperial units are also based on the value of divisibility... the real question is why hasn't europe switched to a decimal based system for degrees?

@arunkumar-vd1dw Ай бұрын

😂😂 use radians😂😂

@albertbatfinder5240 2 жыл бұрын

I remember being quite flustered when I first learnt about radians. I thought it was incredibly stupid because I KNEW there were 360 degrees in a circle. Just wish the teacher had introduced the subject of radians by pointing out that the 360, and thus the size of a degree, is completely arbitrary.

@allangibson2408 2 жыл бұрын

Just wait until you discover gradians… 400 gradians to a circle… Which is also why a kilometre is 1/40,000 of the circumference of the earth…(through Paris of course).

@ThereIsNoOtherHandleLikeMine 2 жыл бұрын

Would it help to know that every number system is completely arbitrary, including money? I didn't think so. You're stuck with it.

@buckerjungmann 2 жыл бұрын

Or 360° at the equator where each degree is 60 miles, and one minute is 1 mile (nautical mile). Kind of makes the whole time/speed distance/latitude/longitude thing work out nicely.

@allangibson2408 2 жыл бұрын

@@buckerjungmann Which is where the whole “statute mile” starts looking really arbitrary…

@raviormetal1653 2 жыл бұрын

@@allangibson2408 Errr... No. a kilometre is derived from a universal unit of physics, the speed of light.

@nicokelly6453 2 жыл бұрын

I'm so used to the decimal way, I totally hadn't realized there is another way to count with your fingers without just lifting each individual finger. That was unexpectedly eye-opening.

@myaccountisntthisone 2 жыл бұрын

My father taught my siblings and I to count using base 2 (binary). 10 fingers allows me to count to 1023. It's still my go to way of finger counting 30 years later. Always have to be careful with the number 4 though, that can be misunderstood.

@jowsonjgong8303 2 жыл бұрын

@@myaccountisntthisone 132 is even worse

@MichaelTilton 2 жыл бұрын

@@myaccountisntthisone I used this as a neat Bar Bet. Only lost once in my life. Probably you ;-)

@ZlothZloth 2 жыл бұрын

@@myaccountisntthisone I learned another one where the fingers of the right hand count as 1, the thumb counts as 5, the fingers of the left hand are each 10, and the thumb is 50. It's a lot like tally marks, but for fingers. You can only count up to 99, but it's much easier to translate into a decimal number. I still use it in music when there's more than 10 measures of rest.

@edme8865 2 жыл бұрын

You can also use the fingers to count in a base 5 system. 5 fingers on the one hand to count 1 through 5, and the other hand counts the iterations. Similar to the video, but using the whole finger instead of each knuckle. I like using this as it allows counting more than 10 and up to 30, but is close enough to the decimal based system most people are used to. I have encountered enough practical situations in life that require counting just a few digits past 10, usually 11 to 17, hence I found it useful. For instance bi-monthly payments-every 15 days-, or biweekly payments-14 days.

@juzbecoz 5 ай бұрын

This comment will get 360 likes PS:52 likes are huge thank you all PS:HOLY 136 LIKED PS: THANK Ohmygoddddddd wow but more than 360?

@Uno_D_Game 4 ай бұрын

You forgot the zero

@fqdt9753 4 ай бұрын

Actually 90degs is actually 100grads. That is being used by metirc system. Its only americans using the degress system. Grads is easier.

@mossaabtoualia8198 4 ай бұрын

@@fqdt9753I don't think anyone uses grads

@preetlimbasiya 4 ай бұрын

Remove the “PS” for more likes! 🤡

@shashanksams 3 ай бұрын

here's a dislike to balance it out

@DanielM.-mq4rm 6 ай бұрын

Never asked this question myself. But now that you have mentioned it, thanks!

@BitSmythe 2 жыл бұрын

There was an article in the “Journal of Irreproducible Results” between 1980-1985 that had a fabulous, detailed article about how we should switch to ten-based time. It was a very well thought out and explained article, suggesting 100 seconds in a minute, 100 minutes in an hour, etc. They even figured out how to deal with 10 days per week, 10 days per month, everything would be so easy! Every couple of years I search for that magazine and article, with no luck. I would feel deeply indebted if somebody had a copy, or was able to find it!

@ss_avsmt 2 жыл бұрын

The only way to be satiated now is to do it yourself. It's not much difficult.

@NotQuartz 2 жыл бұрын

Now you’ve got me intrigued :)

@stylo025 2 жыл бұрын

But the problem with the 10 day week would be the shifting of the weekdays, on which a lot of religious holidays depend :)

@bizw 2 жыл бұрын

@@stylo025 yeah im sure thats the only problem

@Syngrafer 2 жыл бұрын

I would also like to find this.

@kinliss1183 2 жыл бұрын

This video doesn't explain why we use 360. It explains the convenience of 360.

@conanthecribber 2 жыл бұрын

Exactly. It's a poor video given it's title. Furthermore, the Babylonian system also involved base 10. Every number up to 59 involves the "

@markwelschmeyer2426 2 жыл бұрын

convenience has its own usefulness. if it works it sticks or if it ain't broke don't fix it.

@giornikitop5373 2 жыл бұрын

that's why we use 360. because it's convenient.

@shivamdubey426 7 ай бұрын

We use it because it is convenient

@MrBlubaduki 5 ай бұрын

It does at the end. If you divide the side of an equilateral triangle by sixty which was the base for the babylonians their number system and exactly 6 equilateral triangles fit into a circle then 6x60= 360.

@JerryN7970 7 ай бұрын

I struggled with math in school, but I actually guessed that was going to be the reasoning because I could see that so many numbers went into 360 evenly. 👍🏻

@devamjani8041 7 ай бұрын

The decimal system which has become the universally adopted system for doing maths was developed in India.

@Jim-be8sj 2 ай бұрын

India is also the birthplace of zero, which is a more important contribution.

@christophersmith8014 2 жыл бұрын

It also has to do with calendars, time, astronomy, and living on a spherical planet. Before we used the 365 day calendar there were 360 day calendars. The 30 day months tracked the lunar cycle. 360 days/ 30 degrees to a zodiac sign equals 12 months as well. Observing the sky for navigation and charting the seasons gave us the numbers to work with. 360/15 degrees equals 24 hours in a day and the further divisions of minutes and seconds lend to our coordinate for GPS as well.

@user-py1bu8lf6b 7 ай бұрын

ну вот, хоть кто-то понимает логику предков

@btck 6 ай бұрын

Even better, When chinese hold 365¼ degrees in a circle make their calculation more complex except representing the movement of the sun along the sky.

@christophersmith8014 6 ай бұрын

@@Stay.605 Well, if the heavenly bodies were cubes instead of spheres then none of the math would work out the same. The video is talking about why a circle has 360 degrees so the shape of the planet is highly relevant.

@hifinsword 6 ай бұрын

Your explanation make much more sense than the one presented here. To me the heavens lunar cycles, and time keeping seem like they would be the basis for 360 degrees.

@oftin_wong 6 ай бұрын

Correct

@WestExplainsBest 2 жыл бұрын

I would make a video on this topic, but this outperforms anything I could do. Bravo! I will definitely show this to my math class!

@windowsxseven 2 жыл бұрын

West doesn't necessarily Explain Best

@WestExplainsBest 2 жыл бұрын

Lol true, not with everything!

@0xBlez 2 жыл бұрын

Cool teacher

@organicfarm5524 2 жыл бұрын

East mostly sucks;)

@mhl40 2 жыл бұрын

I still think you can add to it if you would have a go at it. This video mostly explains how many dividers 360 has, and how Babylonians enjoyed their fingers. No mentions of why many circle calculations are actually done with radians and why 360 isn't better here. Also no mention of gradians either (400 degrees around the circle).

@briankelly5828 7 ай бұрын

A good and informative video. I especially liked the point about highly composite numbers. A reminder too that the old British or 'Imperial' measurements of inches and feet, ounces and pounds and stones, pints and gallons are more easily divisible into halves, quarters, eighths etc - as in dry measures of wheat and liquid measures of beer etc.

@2adamast 7 ай бұрын

Remember the great schism of 22 yards to the chain of 100 links or 4 rods.

@ayushsinganad2617 6 ай бұрын

The real question is why doesnt school teach this kind of stuff

@kingloufassa 2 жыл бұрын

6 circles of the same size also fit perfectly around a circle. If you use a compass you can further divide from the centers of those and make a protractor.

@gutoguto0873 2 жыл бұрын

This is why you're THE Louis Sankey baby!

@AbhishekVerma-fe3wo 2 жыл бұрын

noice

@stigcc 8 ай бұрын

Hexagons are the bestagons

@Karmakatzeee 8 ай бұрын

@@stigcc sorry to break this to you but they are not, triangles are way better than them

@MarchalisVan 8 ай бұрын

4 equal circles have the same surface area as one with a diameter twice as big, also works with a circumference twice as big. 8 equal Spheres have the same volume as 1 with a diameter twice as big, etc etc. But it all reverts back to some decimal, fraction, or percental system when scaling individual measurements like having 3.561652 circles and converting to a larger one. Still a useful concept in the right aplication.

@bigswole4388 2 жыл бұрын

If you get cold, stand in the corner of your home. It's always 90°.

@windhelmguard5295 8 ай бұрын

you are very optimistic. by this i mean it's bold to assume construction workers know what a right angle is.

@civotamuaz5781 8 ай бұрын

Get the heck out of here

@Hexon66 7 ай бұрын

@@windhelmguard5295 Never explain your joke. Express the joke better.

@pantrapeusz9071 6 ай бұрын

Well, which degrees you mean? Because in Celsius scale (which I use daily because Europe) I would be boiled

@shaoronmd 6 ай бұрын

I wanna say you're wrong, but it's right

@jeremyw.1473 8 ай бұрын

Why do parts of this video look like educational Family Guy?

@lucho.g. 8 ай бұрын

And why not 2520? It is an arguably better number since it is the smallest that can be divided by all 1 digit numbers (including 7) and also a way more extensive list of numbers in general: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520 It is a pretty nice number in my opinion, and it is also not 'that big'.

@daniell1483 8 ай бұрын

It feels so trippy to realize that other cultures used to do math in a manner so different (yet still made perfect sense!) from what we use today. Math is like the language of the universe or something.

@PaulHarris-sl1ct 8 ай бұрын

Perhaps the pyramid builders used a more versatile mathematical system than we are assuming. Maybe that system has the answers to how the pyramids were built. Among many other "ancient mysteries"

@peezieforestem5078 8 ай бұрын

Is it really trippy? How is it different from normal languages? They are also different yet make perfect sense. Every mathematical statement can be expressed with a regular language. However, the inverse is not true. Human languages are actually supersets of mathematics.

@PaulHarris-sl1ct 8 ай бұрын

Maybe that is why observations by the JWST are turning out ideas of the universe inside out. The theory, defined by mathematics, seems to be crumbling before observation.

@alexbatsis2785 7 ай бұрын

It's just a representation system though, doesn't really affect the mathematics itself. Naturals are always the naturals.

@SK-vk9jf 7 ай бұрын

@@PaulHarris-sl1ct the flaws of mathematics are rather well-known, the Gödel's incompleteness theorem was a shocker in the last century but now I think people got used to it and just treat mathematics as it should be treated - a product of human very limited brain which was never meant to deal with the secrets of the universe in the first place. It is a good-enough approach and a robust language, or rather languages.

@louisnorred8530 2 жыл бұрын

When I was in high school, I spent about a month trying to really train myself to learn the Base 12 multiplication table. One subtle advantage of Base 10 is that it takes care of the number 5, which is actually quite "unintuitive" in division. So while 12 has more factors, 10 has the advantage of "consuming" a weird number and making it easy to divide or multiply by 5. In base 12, you face similar problems with 5 as you do with 7 in base 10 (and retain the same difficulties of 7), for only the advantage of making multiples of 3 easier to count out (which they are already quite simple in base 10).

@felipevasconcelos6736 2 жыл бұрын

Which’s why the best system is seximal: it has 2 and 3 as factors, and it has 5 and 7 as neighbors. This means the two most common factors are trivial, and the next prime, 5, is as easy as 3 and 9 in decimal: the divisibility test is just adding all the digits, and the inverse is just one repeating digit. It also turns 7 into 11, which’s much more convenient to work with than in decimal or dozenal: you add pairs of digits instead of single digits, and the inverse is 0.(05) repeating. The main problem with dozenalim is, I think, is that they talk about repeating digits like they make calculations horrible and imprecise, but they’re quite simple to deal with in reality. What’s actually really annoying is when a number has a long period, like 1/7 which’s 0.(142857) in decimal and 0.(186A35) in dozenal, which are very hard to remember. Like, does anyone actually know that 1/13 in decimal is 0.(076923)? No, but it’s very obvious that 1/20 is 0.05, and that 4/9 is 0.(4)

@louisnorred8530 2 жыл бұрын

@@felipevasconcelos6736 this is woke!!!!!

@melonenlord2723 2 жыл бұрын

Why base 12 and not base 16 which has more use in computer stuff? :D

@AdcapGamer 2 жыл бұрын

@@felipevasconcelos6736 most repeating decimals have 6 repeating numbers. Its not that hard to remember them. The only problem is in some repeating decimals of fractions with denominators greater than 24 and are multiples of 3. Ex: 1/21 where it changes from 0.0476190 to 0.0952380 to 0.14285 and eventually 0.33333. (And other variations of these. like how 1/7 functions, the first digit in 1/21 moves around depending on the fraction). Numbers like x/21 are really annoying because you would need to know 3 sets of 6 numbers to memorize repeating decimals of fractions with denominators that are multiples of 3. Aside from these numbers, most repeating decimals are very easy to memorize.

@demi172 8 ай бұрын

@@melonenlord2723 base 16 is used in programming but like thats just because it's base 2^4, it doesnt have anything else that makes it a good base, it's only divisible by the powers of 2 before itself [i.e. 2, 4, 8]

@wideeyewanderer1785 8 ай бұрын

This comment section is the best!!!! I’m learning so much. I was a Straight A math student my entire life but I took the path towards science and I often think about what my life would be like if I’ve gotten a math degree instead.

@timehunter9467 8 ай бұрын

I always thought 360 was better for dividing into lots of numbers, nice to have my thoughts confirmed.

@juangalton999 2 жыл бұрын

This proves how clever the Babylonians were. Yes, they didn't have the convenience of Arabic numerals. However, they were smart enough to calculate out base 60 (which we also base our notion of minutes and hours off of). Also they helped invent beer. We owe a great deal to this 6,000 year old civilization.

@nyxawesome9409 2 жыл бұрын

Agreed, just one (pedantic) correction though, it is not arabic numerals, it is Decimal / Hindu / Indian numeral. Photocopy is not xerox.

@someonejustsomeone1469 2 жыл бұрын

@@nyxawesome9409 photocopy is xerox

@nyxawesome9409 2 жыл бұрын

@@someonejustsomeone1469 Xerography / Photocopy is the actual invention and process. Xerox is just another company / brand using that process and commercialized it.

@someonejustsomeone1469 2 жыл бұрын

@@nyxawesome9409 photocopy is xerox

@arnesbeganovic 2 жыл бұрын

Well, if you check an image at 2:28, you can see that symbols were base 10. They repeat every 10 numbers.

@hipparchos 2 жыл бұрын

as a surveyor I'm used to grads. A full circle has 400g , each grad has 100cents and each cent has 100ccs (cents of cents)

@givrally7634 2 жыл бұрын

Kinda reminds me of the arcsecond unit used in astronomy

@hipparchos 2 жыл бұрын

@@givrally7634 yeah astronomy uses degrees, so does cartography and higher geodesy (elleipsoid geometry). We use grads for surveying

@2adamast 2 жыл бұрын

the kilometer is based on the grads system like the nautical mile on the degrees

@thomasmaughan4798 2 жыл бұрын

I have a surveyors magnetic compass in a wooden box; it is calibrated in Grads.

@mikechappell4156 8 ай бұрын

I wasn't aware that grads were broken down like that.

@jaxxonbalboa3243 8 ай бұрын

I was super confused in school in trig and calculus particularly about all the symbols. None of the courses ever explained where and how the symbols came to be. I was stuck not understanding how everyone else seemed to move through math so easily. It is true that everyone learns differently and I happen to need to understand things in detail before I can move on. One day I realized that it's all made up and that mathematics is a set of symbols manipulated via a group of standardized processes and procedures. 🤔

@kevinnielsen1356 5 ай бұрын

Not having watched the video, I would say 360 is superior because it can be evenly divided by; 1, 2, 3, 4, 5, 6, 8, 9. This makes for a nice ez to work with description of a hypothetical circle.

@lucahermann3040 2 жыл бұрын

0:09 Us mathematicians don't even use 360°, we use 2π. We never describe angles with degrees, but with fractions of π.

@polanski2399 2 жыл бұрын

@lucahermann3040 2 жыл бұрын

@@polanski2399 π=3.14159... If you go around a sphere with a radius of 1, you cover a distance of 6.28318..., which is exactly two times pi, so it makes more sense to describe angles with fractions of this number than introducing a unit like degrees and having to convert every result in trigonometry from radians to degrees whenever you happen to encounter a circle.

@polanski2399 2 жыл бұрын

@@lucahermann3040 I see, so that's what the radians mean on my calculator

@lucahermann3040 2 жыл бұрын

@@polanski2399 exactly, it makes the calculator show the angles as the ratio to the radius of a circle.

@99thExtent 2 жыл бұрын

Thats highschool level math

@davidjorgensen877 8 ай бұрын

I always thought 360 got the nod not only because it was so highly composite (I guessed that part correctly), but also because it happens to be very close to the number of days in a year, so that we have 1 second or arc being 1/60th of a minute, 1 minute of arc being 1/60th of a degree, 1 degree of arc being 1/360th of an Earth revolution (i.e., a day) and 1 Earth revolution being (roughly) 1/360th of a Solar orbit (i.e., a year). I'm sure that would have been a useful metric for early navigators to predict star positions and plot vectors therefrom.

@gh5972 6 ай бұрын

Astoundingly informative!

@Scienceabc 6 ай бұрын

Glad you think so!

@-.--Y..-U...S..-U..-.F 6 ай бұрын

The concept of measuring angles in degrees is based on the Babylonian numeral system, which used a base-60 system for mathematical calculations. This system originated from ancient Mesopotamia around 2000 BCE. The choice of using 360 degrees in a circle is believed to have been influenced by the Babylonians' preference for using numbers that were divisible by many factors. 360 has several factors, including 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360. This makes it a convenient number for dividing angles into equal parts, as it allows for a greater number of whole divisions compared to using a smaller number like 100. Over time, the choice of 360 degrees became widely accepted and used in various fields such as mathematics, geometry, astronomy, and navigation. It has become a standard convention, deeply ingrained in our numerical systems and cultural practices. While it is possible to measure angles in other units, such as radians, which are based on the mathematical constant π (pi), degrees remain the most commonly used unit for measuring angles in everyday life.

@-.--Y..-U...S..-U..-.F 6 ай бұрын

I love chatgpt. Great summarizer.

@EpicWayWay 2 жыл бұрын

1:35 man hit puberty instantly 💀

@pxrple. 2 жыл бұрын

💀

@adwans1491 2 жыл бұрын

What?

@Jee2024IIT 2 жыл бұрын

🗿

@foureyedchick 2 жыл бұрын

A lot of people don't know about grads (gradians). It dividea a circle into 400 degrees, with a right angle being 100 degrees. It never really caught on with popularity. The 2 most popular are still standard (360) degrees and radians (multiplea of PI). PI/2=90deg PI=180deg 2PI=360deg etc. But, I would have to agree: The 360-degree system is best in a lot of ways. It is also standard in electrical engineering, with phase angles in for example inductive and capacitive circuits being measured in standard degrees.

@Crushonius 2 жыл бұрын

grads did not catch on because it is a worse system than the one invented some 6000+ years ago it had nothing to do with popularity . and yes the 6000+ years is right because it was the sumerians and not the babylonians who came up with it

@bjorneriksson6480 6 ай бұрын

military use grads, it is easier to divide and understand i your head

@DragonlordSVS 6 ай бұрын

@@bjorneriksson6480 I am not sure about that, we here used the which are basically aproximating miliradians and the circle was 6400. I think in English its called "mils".

@Candyy248 5 ай бұрын

I wonder why radianes were not used more... On physics we constantly used them...

@TheEventGuy 8 ай бұрын

The first time I recall coming across the number 360 as a kid, was, when I was doing sick moves in Tony Hawks Pro Skater from `99.

@user-el1hd3iz6m 8 ай бұрын

+1 for the link to highly composite numbers +1 for an ancient not-so-popular method of counting

@kamikaze.33 2 жыл бұрын

Thank God for this video!! I've thought about this issue so many times! (Although, I've usually always been too lazy to look through Google for possible answers lol) I'm glad for the first time that my Google phone must be listening to my conversations and/or reading my mind and this just happened to show up in my feed lmao. Great explanation!

@BrainPermaDeD 2 жыл бұрын

Google does record a lot of your stuff you may leave online. So google does know about a lot about you.

@omargoodman2999 2 жыл бұрын

*Degrees:* I've got 360° for a circle. *Everyone:* That's... an unusual number. Anyone else? *Radians:* What about 2π? Will that work? *Everyone:* Ugh, that's even worse. Sounds like something a math nerd came up with. *Radians:* [shuffles nervously] *Gradians:* Ooh, ooh, I have one. It's based on 100. *Everyone:* Oh, that sounds easy and very metric. So 100 gradians, right? *Gradians:* Yes! 100 gradians in a right angle. *Everyone:* Wai.. what? In a right angle? So that means... *Gradians:* 400 in a circle! Neat, huh? *Everyone:* ಠ_ಠ *Gradians:* Sooo... when do we start using it? *Everyone:* Alright, we're going with the 360° thing... goddamn I hate math.

@melonenlord2723 2 жыл бұрын

With 400 gradiens in a circle you don't went down so fast in a under 1 gon angle for small angles. 230 gon you can easy think about. These are 2 right angles and 30% of another added together.

@Hdbdbdby 2 жыл бұрын

The irony is that radial are way more convenient and also used a lot in science.

@HotelPapa100 8 ай бұрын

That the task of dividing up the circle in equal parts is so common in têchnology is probably the reason the unit for angle has resisted decimalisation. In most other measuring tasks, dividing in equal parts is not quite so common. (Adherers to systems of units based on a monarchs body parts notwithstanding) Not surprisingly, the field where the 100° to the right angle unit 'gradian' could establis itself, surveying, does not often have to divide the circle, but measures relative angles between points on the earth.

@rijeanirso 7 ай бұрын

In the old days, they estimated that every 360 days, seasons repeated . They didn’t plan it , just based on their observations

@seanhewitt603 7 ай бұрын

It never occurred to you or anybody else that the earth's year was 360 days long, that the speed of rotation can change?, like when the ice sheets melted, and the mass of the water dropped 3 km lower. What happens when a figure skater spins and they draw in their arms?

@glennchartrand5411 2 жыл бұрын

60 was popular with ancient mathematicians because it was the smallest number that can be divided into decades ( 10 ) and dozens (12) 60 is "5 Dozen" or "6 Decads." The Ancients would switch between decades and dozens depending on which was easier to use in a specific situation. Here's how they approached math. "Multiply 7 × 49" Instead of factoring that the way we did in school , they would see this as 7× ( 4 dozen +1 ) = ( 28 dozen and 7 ) 7x ( 5 decades - 1) = ( 35 decades minus 7 ) And they would use which one was most convenient for them. It also makes division a lot easier to do in your head. "Divide 77 by 4" ( 6 dozen + 5 ) ÷ 4 (3 per dozen × 6 dozen ) + 5/4 18 + 5/4 "Divide 77 by 3" ( 6 dozen + 5 ) ÷ 3 2 dozen + 5/3

@Normal_user_coniven 2 жыл бұрын

I always asked the same question. I came up with a theory that this is the count of days for the Eart to full round the Sun. It is 365.25 days. But, it is smplified into 360 since is every month is usually 30 days (30×12=360). Not enough convincable proofs, but that was the best I came up with.

@jocelyngray6306 2 жыл бұрын

I think this is actually more true. This is what I always heard.

@wallacem41atgmail 2 жыл бұрын

The Indo-Arabic positional decimal notation system has become so fundamental to our thinking that we've forgotten how difficult and clumsy were all previous systems. For example, try doing astronomical calculations using Roman numerals and one will quickly realize why the Ancients wanted to be able to write results in whole numbers wherever possible rather than having to resort to fractions. Hence, the use of 360.

@matthewaislabie7354 2 жыл бұрын

You are on the right track. 12x30 day months. But add 1 day between every season =360+4=364. Then have Enoch calender. Add leap week every 7th year. And also every jubliee (50). Will keep year in synchronisation with 365.2522 solar day year. The Babylonians (and greeks) used moon 354 days. Romans used 365. (in use today) But the biblical year uses 364. Adam, Enoch, Noah, Abraham, Moses, David. Daniel, Jesus, John. Good luck Brother.

@kensmith7078 2 жыл бұрын

One of my high school math teachers said that there were 360 degrees in a circle because it was based on 365 days in a year. He's the only person I've ever met that said that, though. Could Mr. Phillips have been right back in 1979? I've never seen it in a book!

@gian0giorg 2 жыл бұрын

I heard the same thing on a documentary I think. It was about the stars on the night sky which were positioned 1 constant unit apart each night same hour until the circle was completed 365 units later.

@idzis4283 7 ай бұрын

and us surveyors use grads, full circle is 400, then 1 grad is 100 grad minutes, 1 minutes is 100 grad seconds. Way easier to compute and count :) Plus its more accurate

@TheTravellingNeutron 3 ай бұрын

How I understood it in my childhood was it could have four 90 degree angles from the center and hence adding up to 360. Also 1 straight line dividing the circle in halves (also called as diameter), has 180 degree angle, therefore adding upper half 180 degree and lower half 180 degree giving us 360 again. :)

@internetuser8922 2 жыл бұрын

The guy at the beach at 3:36 looks like he is from Family Guy / American Dad.

@pascalrottier4783 2 жыл бұрын

Another often overlooked argument is that 360 is very close to 365. That means de sun moves - almost - exactly 1 degree each day against the sky. That is useful for navigating at sea. And for setting dates. You just count de number of degrees the sun has moved, and you know how many days have passed.

@plzletmebefrank 2 жыл бұрын

You just commented what approximately one sixth the top commenters already commented. Good work. Very overlooked indeed.

@qwertyui2827 8 ай бұрын

I thought that also as a commonly admitted fact.

@YouCanCallMeDon 4 ай бұрын

Happens to be very close to the number of days in a year. Intelligent design works like that.

@psdaengr911 6 ай бұрын

This presentation is an excellent example of human post-justification. It's predicated on the assumption of using a base 10 numeric system. Our organic creators were frequently limited in similar way, as their measuring systems were originally based on their bodies and redefined using the properties of matter shortly before they became extinct.

@ralphwilliams2208 2 жыл бұрын

One connection for 360 is that each day we travel approximately 1 degree around the sun (365 days in a year). 30 degrees per month on average gets us 360 degrees in 12 months exactly.

@MrX-fo5ey 2 жыл бұрын

It's really amazing.. You answered the question that I never think about...👍🏻

@Scienceabc 2 жыл бұрын

Glad you liked it 🙂

@caribbeanman3379 8 ай бұрын

I still think using a decimal fraction to represent an angle is better given that we work with base 10. The 360 system only has significant advantage if you're working with base 60 and we don't. Since we work in base 10, we should be using a unit like turns where 360 degrees would be 1 turn and 90 degrees would be 0.25 turns. There's less converting to do this way. With degrees you often have to convert an angle to or from decimal format by dividing by,, or multiplying by 360. That step is omitted if your angle is already expressed as a fraction of a full turn. I don't care about issues like 0.333*. Rounding to desired number of digits deals with those minor issues easily.

@TheMotiveDJ 8 ай бұрын

That means the calendar was 5 days off from being perfect.

@ntatenarin 2 жыл бұрын

2:22 I always thought this with time. Why is there 60 seconds in a minute (or 60 minutes in an hour)? It would be easier to make a second faster, so there are 100 in a minute (or slower, so there are 10 in a minute). I love that idea you mentioned about cutting a circle into different parts, and the 60 is nice because you can cut a clock in 3 parts with whole numbers. Anyways, thanks for the video! LOL, the 60 seconds in a minute (60 minutes in an hour) might not even relate to this idea of divisors, and there is some other reason, but it's interesting!

@Sander-zj3wi 2 жыл бұрын

A 12-base would have been the better system then the current 10-base system. Then the 60 system or 50 in 12 base would have had more usable fractions before getting into decimals. Just look how easy it is to divide a day, hour or minute into fractions.

@user-pv8ob2uc6s 2 жыл бұрын

@@Sander-zj3wi i don't think many people say "one-thirds of a day" or "one-fourth of a day", though.

@jarlfenrir 2 жыл бұрын

@@user-pv8ob2uc6s Why would you say "one-third of a day" when "8 hours" is simpler? But if you would like to divide a day into 5 for some reason, it could be better to say "one fifth of a day" instead of actually counting how many hours and minutes that is.

@pokechannel9758 2 жыл бұрын

I always have a doubt. 1 min= 60 seconds, similarly 1 hour= 60 min but why is millisecond, microsecond and nanosecond different. As 1 second= 1000 millisecond. 1 millisecond= 1000 microsecond and 1 microsecond = 1000 nanosecond.

@onebacon_ 2 жыл бұрын

@@pokechannel9758 fractions of seconds are different. The part in front is a decimal prefix. Milli = one thousands Nano = one millionth ... You can technically use them with every measure. That's why it's called kilometer and kilogramm, just 1000 times meter or gramm

@04maj 2 жыл бұрын

This is a very good explanation of why is it useful to have 360 degrees, but not a very good one to answer the title question: "Why is a circle 360 degrees?" Yes, it comes from Babylonians and yes they used a sexagesimal system, but this is not the core reason why. The reason for this division is their astronomical observations of the sky and their practical astrological applications. Also, it's not "one theory", the oldest written evidence of sky division into 360 'steps' comes from Babylonians, so we simply have no other evidence to the contrary.

@griffin8er845 6 ай бұрын

There doesn’t need to be an explanation for a circle being 360 but rather a definition that the angle between two vectors in the same direction is 360. This helps define that a full rotation is 360 degrees and that all angles are based of the 360 degree benchmark. The video aims to make sense why 360 was the best choice rather than why 360 is a circle because by definition, the circle is one full rotation. I guess what I’m saying is that a rotation is being defined and the circle is dependent on what a rotation is.

@ozylocz4078 6 ай бұрын

🤓🤓🤓🤓🤓

@ShankarBisht-pm1bx 8 ай бұрын

So if we take a number like 2520 which is divisible by all number from 1 to 10 then will it be better than 360, right?

@alexk7467 5 ай бұрын

I think so. The way I look at it is the more degrees you have in the circle, the more accurate you could be. Especially dividing a circle or trying to do equations

@Candyy248 5 ай бұрын

Actually yeah...but 360 has been very well established alredy that there is no chance for that to change...

@GregoryShtevensh 6 ай бұрын

This was the question I asked as a kid. Finally it is answered

@francisluglio6611 2 жыл бұрын

This is a great video. I was wondering why 120 or 240 didn’t do the job since they’re both numbers that are fairly divisible and it’s nice to keep the number low. I wasn’t not familiar with why you would want to divide 360 by 60 degrees or anything bigger like that. Now I know that it comes from having 6 triangles.

@smittymcjob2582 2 жыл бұрын

The bit about 6 triangles of each 60 degrees is a bit circular, since the angles for an equilateral triangle is 60 degrees because you defined a whole circle to be 360 degrees. If you defined a whole circle to be 100 degrees then each angle of an equilateral triangle would be about 16.7 degrees and then you could still fit 6 equilateral triangles in a full circle with their angles adding up to a 100 degrees...

@francisluglio6611 2 жыл бұрын

@@smittymcjob2582 but why would you want such an ugly number when you could leave yourself with a number that’s still highly composite? I don’t know the advantage of keeping the relationship between the two but at least it has an origin

@stigcc 8 ай бұрын

@@smittymcjob2582You want to be able to divide the circle by 6

@jaideepshekhar4621 8 ай бұрын

@smitty Actually, the reason 60 was picked for triangles and 360 for circles is because they are both good numbers.

@Rakinshu1203 8 ай бұрын

@@francisluglio6611 it may look ugly represented in decimal, but in a 60 base system its not. Considering the importance of being divisible by 6 in a 60 base system, 6 * 60 is actually a super neat number to choose.

@EstOptimusNobis 2 жыл бұрын

In the military, we used mils instead of degrees. 6400 mils in a circle. Mils calibration has the advantage of working well with artillery calculations, as the same unit is used to calculate distance, vertical angles and horizontal angles.

@Sekir80 2 жыл бұрын

Mils for distance? I'm quite intrigued! Tell me more about this system, maybe a crash course in artillery? :)

@darkfrei2 7 ай бұрын

Please explain how it works.

@poruzu 6 ай бұрын

@@darkfrei2 probably the same thing as degrees just 17.777 times smaller

@darkfrei2 6 ай бұрын

@@poruzu Is it just 1/1000 of radian? Than ok, the distance can be an angle with factor 1000. 1 radian is 57.29578 degrees, 1000 times smaller is 0.05729578 and it's just 1/17.45329252 degrees, not 17.7777, but very near.

@holger_p 6 ай бұрын

The only advantage of certain units is, people are used to integral numbers and dislike too many digits after the decimal. It's easier to speak and to memorize. 10.000 you can remember, but just speaking 0.0003 verbally is hard. (people tend to multipliy with 1 million, and call it 300 micro-units in this case, to be back to integral numbers).

@bhargavinerusu 7 ай бұрын

I used to think that 365 days in a year roughly translated to 360 degrees, that the movement of earth in one day is approximately 1 degree.

@kanna-kamuiUwU 6 ай бұрын

Me to 😅

@OptimusMonk01 6 ай бұрын

that's correct though

@polatpoliquin1478 6 ай бұрын

A circle has 360 degrees due to Babylonian tradition which used a base-60 number system. This made dividing into equal parts easier, as 360 is highly divisible without leaving fractions.

@rickdeckard346 2 жыл бұрын

this is such a good video and the explanation is brilliant but the fact that the characters depicted here look like they’re from family guy makes me crack up every time

@allwaizeright9705 2 жыл бұрын

I just find it amazing that our day is ALMOST 1 degree of a circle.

@holger_p 6 ай бұрын

This idea would sound much more conclusive to me.

@OptimusMonk01 6 ай бұрын

it's almost as if there used to be 360 days in a year but then someone corrected it when they had some kind of accurate way to measure it with a telescope

@TaushaTW 8 ай бұрын

This is confusing.

@broderp 5 ай бұрын

Not really. It's like the metrics system versus the imperial or American system.

@NishaDaveStanfordGSB 8 ай бұрын

Verbally form analogy of circle as year, Total constituents of 1 circle 360° similarly Total constituents of 1 year as made up of 60*60*24*365 seconds. Numerically associate 360 with 60*60*24*365. First principles= think from basic unit then can think of part as fraction. Square=90*4, Hour= 60*60 Day=60*60*24 Day= Year divide 365 = Day

@IloveRumania 2 жыл бұрын

3:30 Hexagons are the bestagons.

@HypherNet 6 ай бұрын

Because (bonnie) bees are the best, and they make only the bestagon.

@jjaapp18 2 жыл бұрын

I like how I knew this answer without actually knowing it yet. When I read the title I thought, "100 sucks when dividing a bunch of numbers from it"

@MichaelTilton 2 жыл бұрын

Division is why the Metric System sucks. The metric system rocks when multiplying. Standard Units suck when multiplying, but are great for dividing. 1/3 of a Meter is 33.3333333333333 cm Sucks using math after. 3 meters is 300cm easy. 1/3 of a yard is 12 Inches (aka foot). 3 yards is 108 inches (9 feet). FYI, a mile is approx what an army can march in 15 minutes (1/4 hour) and brisk pace, and 20 Minutes (1/3 hour) at leisurely pace. Things aren't as random as it appears.

@user-je4yh6sn4w 8 ай бұрын

What my math teacher told me long time ago it is that the Babylonians used 360 cause of the 364.25 days per year. And thats the best whole number to make calculations easier. They were studying the motion of orbiting objects. Same for days hours, minutes, seconds all dividors of 360

@robski39 6 ай бұрын

Something as simple as the 360⁰ of a circle can prove not simple after all. Thanks for the fact.

@__________Troll__________ 2 жыл бұрын

*This was easy to comprehend, nice job*

@Ulas_Aldag 2 жыл бұрын

The sumerian way of counting is brilliant. The first time I heard about it I suddenly felt enlightened and understood why we have 60 seconds, 60 minutes and 360 degrees. It's also a far more useful way of counting

@JohnJ469 2 жыл бұрын

One of the big benefits is in crop accounting. Counting produce in sets of 60 makes them very easy to divide between 4 or 6 villages.

@barongerhardt 2 жыл бұрын

Minute literally means one sixtieth and second is short for second order minute (the minute of a minute).

@user-ij9vi6sn8g 8 ай бұрын

i think is useful for circle related calculation

@jean-pierrearcoragi6313 5 ай бұрын

And a year is about 360 days…

@tomthomas5793 7 ай бұрын

I feel a little more educated now. Thank you!

@saifullahzaman7756 3 ай бұрын

surprisingly i was literally thinking about this topic and youtube recommended me this video 😅

@abdulmohsinnoorazlan9109 Жыл бұрын

This is the most amazing explaination about "why full circle/angle is 360" that I have ever heard

@A.J.1656 6 ай бұрын

What was the worst and what was the runner up?

@JonLeung1 2 жыл бұрын

Though I know 360 is highly divisible, I always thought it also had something to do with the Earth's rotation around the sun. Would have been nice if a year was 360 days, instead of 365.2425 days. Then each day would be one degree around the sun.

@frozentime-mif7213 2 жыл бұрын

rotation isn't a fixed number anyway, so 360 would be accurate only 1 year XD but yeah, many stuff could be improved with those numbers

@ShankarBisht-pm1bx 8 ай бұрын

At some point in the history this is actually true.

@Ashok-pn9wi 7 ай бұрын

Wow in India we have similar story but moon involved in it. Reg Veda 1: 164- 11&48 says time of wheel has360 spoke.

@lmichelle7418 5 ай бұрын

This interesting channel popped up in my feed! I’m gonna subscribe!

@Scienceabc 4 ай бұрын

Awesome, thank you!

@peterweston6588 7 ай бұрын

The smallest whole numbers you can use to get a right angle triangle are 3, 4, & 5. 3*4 = 12 and 12*5 = 60. Also, each day is divided into 24 hours with 60 degrees of minutiea (minutes), each of which have 60 degrees of second order minutiae (seconds).

@SpencerTaylorOnline 7 ай бұрын

Yes, all of which came from the ancient Mesopotamians and their base 12 counting system.

@HowardARoark 2 жыл бұрын

360 is a much more "simple number" than 100 because it is much more divisible, and many more numbers divide evenly into it, like the number 60.

@Altinget 2 жыл бұрын

It's also pretty close to the number of days in the year, so each day represent One degree in the motion of earth around the Sun.(approximation)

@MichaelTilton 2 жыл бұрын

@@Altinget It was accurate enough for a lunar month/year cycle. Those calendars are wonky.

@brucea9871 2 жыл бұрын

For a while I wondered why a circle was chosen to have 360° and not 100° and eventually I came up with a plausible reason (which is different than yours). There are 365 days in a year and in ancient times people thought there were 360. I think they chose to divide a circle into 360° because the Earth would then move 1° per day. (I know back then many people believed the sun revolved around the Earth but there were some people who correctly believed the Earth revolves around the sun.)

@annoyingbstard9407 2 жыл бұрын

Maybe you should question your own desire for everything to be based on 10 or 100 instead. The most efficient number is 240.

@magicjim1 2 жыл бұрын

You are correct. In fact, the Babylonians were able to determine that there were 365 and 1/4 days in a year, but they used 360 for a Circle because it is highly composite.

@sixchuterhatesgoogle3824 2 жыл бұрын

There actually were 360 days in a year, until a cataclysm slowed earth's orbit. Ancient people were neither stupid nor sloppy.

@annoyingbstard9407 2 жыл бұрын

@@sixchuterhatesgoogle3824 Wow! Do you know any other things that never really happened?

@a.h.s.3006 2 жыл бұрын

That is actually indeed the reason. Ancient Egyptians had the year be 360 days + 5 extra special days that were not considered part of the year. They also had a 10 days week, which they lined up with 36 small constellations to keep track of time. There is still the factor that 360 being a convenient number, I don't recall exactly why, but it involved calculations about the size of an individual degree, and the size being divisible by 30 was the ideal solution.

@bluewolfakakira5563 7 ай бұрын

100 noscope would never sound so cool as 360

@riquelmeone 7 ай бұрын

Nice video. The Babylonian approach is also the reason our clocks are running the way they are. Hours and minutes are not made up of 60 minutes/ seconds by chance but are based on exactly the same 5x12 concept as explained in the video. Quite cool I say.

@roberthuntley1090 2 жыл бұрын

I can't help wondering if someone, in ancient times, miscalculated the number of days in a year (or made up a crude 'rule of thumb' based on an approximation of that number). Seems too much of a coincidence that the numbers are so close.

@arthur_p_dent 2 жыл бұрын

Even if they did know that 360 wasn't entirely correct, the number 360 would still be close enough, and at the same time convenient due to its number of divisors. Fact is, from the viewpoint of early astronomers, the stars would go full circle in one year. In other words, they would move 1 degree per day. Well, really only 0.9856 degrees per day, but that difference is not noticeable to the bare eye.

@DasIllu 2 жыл бұрын

Well, to a bank, when calculating interest, they usually assume a month has 30 days and a year has 360 to make things easier to process. It is only when talking about large sums and potential gains for the bank that they remember precission.

@sumeshrajurkar5922 2 жыл бұрын

I believe 360° , must have relation to number of days in a year on rough scale. Month to number of days between one new moon to next new moon.

@iwatchwithnoads7480 2 жыл бұрын

It has to do with the moon cycle. After 12 lunar months you get roughly the same season and the celestial bodies are close enough. So it's easy to make that mistake in approximation of solar year. .....or they just used lunar calendar and not a mistake.

@liamwhite3522 2 жыл бұрын

That was probably the case, until a new king came into power after his father died, and he noticed that his birthday celebration was significantly more summery than spring-y. Those missing 5 (.24blahblahblah) days unaccounted for over a lifetime will shift the calendar off-season.

@apoapsisrocketsupplies1063 2 жыл бұрын

there happens to be roughly 360 days in a year, useful for celestial navigation.

@Heart2HeartBooks 2 жыл бұрын

And 24 hours a day which 24 is....1 2 3 4 6 8 12 and 24.....all can equally divide into 360. For navigating too.

@santosakowski9846 6 ай бұрын

It's funny, how you can go through life just accepting many things without giving them much thought. This topic is one of those things for me. I never once wondered or thought about why there were 360 degrees in a circle. Thanks for piquing my interest and showing me this. It's very interesting.

@sv-et7gq 7 ай бұрын

A trick i taught myself was to change the cycle degrees to better fit the problems i was working on. After i got the answer i change it back to the standard.

@user-ed1tg9rj1e 2 жыл бұрын

Pesonally, I think 120-degree system for a circle is much more mathematically meaningful and useful rather than 360-degree since 1 degree is not constructible by ruler and compass.

@sullenskulls9709 2 жыл бұрын

Depends on the size of your circle.

@2adamast 2 жыл бұрын

Divide a circle in sixth then use your compass as a divider in successively fifths, fourths and thirds. One degree is the essence of compass use, no ruler needed.

@user-ed1tg9rj1e 2 жыл бұрын

@@2adamast Mathematically, we can't get a one third or one fifth of an arbitrary angle with compass..

@2adamast 2 жыл бұрын

@@user-ed1tg9rj1e Yes we can because compasses are used as dividers in an iterative process and iterations are math too. _Iteration: repetition of a mathematical or computational procedure applied to the result of a previous application, typically as a means of obtaining successively closer approximations to the solution of a problem_

@Crushonius 2 жыл бұрын

@@user-ed1tg9rj1e you literally do not know what you are talking about

@nomadexplorer6682 2 жыл бұрын

Excellent detailing, analysis and conclusions. This short video is interesting and informative....

@Scienceabc 2 жыл бұрын

Glad you liked it!

@ScaerieTale 6 ай бұрын

100 degrees would also be some pretty large degrees physically, when working with a circular object in the real world, or actually drawing the circle, working with angles (which are portions of the circle) etc. But I think this is more of a side effect (But really, no one wants to divide 1/10th of a degree for simple geometry either)

@jeffsiegwart 6 ай бұрын

2 x Pi Radians is a better number to use. It eliminates a lot of unnecessary terms in higher math calculations.

@jubpld8642 2 жыл бұрын

@2:51 for a moment, I'm like, where do I find the remaining 50 fingers 😂

@Dillenger.69 2 жыл бұрын

Could you imagine a numbering system based PI, just to make circles friendly.

@timurtheterrible4062 2 жыл бұрын

So basically Radians but as a numbering system

@markwelschmeyer2426 2 жыл бұрын

i have thought a lot about this lately. i have concluded its impossible because Pi is irrational. i think this also why its impossible to square a circle.

@johnsmith-gq5jw 2 жыл бұрын

@@markwelschmeyer2426 That's not the problem. You can have irrational bases, like the golden ratio. The statement that it's impossible to square a circle is actually a statement about straightedge and compass constructions, and those can bisect angles, so they can make many irrational lengths and areas.

@thoraero 5 ай бұрын

That's one of my big questions in my younger years. Thank you. Did they invent 60 minutes with that base 60 system as well?

@shanti0369 8 ай бұрын

Just to add an interesting fact to 360°: The sum digit of 360 is 3+6+0=9. Half of 360 is 180, whose digit sum is again 9. Keep on repeating this, halving it (dividing it by 2), infinite number of times, like 90, 45, 22.5, 11.25, 5.625 (18=1+8=9), and so on, you will always get the digit sum of 9. 9 is Brahma's number with unique qualities!

@jocelyngray6306 5 ай бұрын

That's a function of multiples of 9.

@otherstuff3773 2 жыл бұрын

The reason there are 360 degrees in a circle is that long ago the Earth had a 360 day year. Not 365. Thus the largest circle we knew (The Earth's orbit) was used.

@organicfarm5524 2 жыл бұрын

That long ago was when 'humans' weren't around.

@otherstuff3773 2 жыл бұрын

@@organicfarm5524 Humans were there to record it all around the world.

@borisbukalov9407 2 жыл бұрын

I always thought that the main reason for 360° is that it is the nearest highly composite number to 365.25, number of days in a solar year. Thus the celestial dome shifts by about 1° every day.

@user-uc5tq7gh2e 2 жыл бұрын

Moreover, in Greek the words "degree" and "day" sound similar, so I thought 1 day is a rotation of 1 degree around sun, not sure if it is the case, though.

@costakeith9048 2 жыл бұрын

@@user-uc5tq7gh2e I don't think that's an accident, that was the assumption most pre-Julian calendars worked on, with an extra 5 or 6 leap days to stick in at some point, which was often done as part of some religious festival. It actually only moves about 59 minutes 8 seconds per day (360/365.25), hence the need for the leap days, but the difference really wasn't measurable on any reasonable time before Kepler in the 17th century and was not measurable for any practical purposes (like navigation) until the invention of the sextant in the 18th century, only then were more precise tables really necessary. In the ancient and even through the medieval world, one degree per day would have been the assumption pretty much all navigators worked with.

@BlackSakura33 2 жыл бұрын

You are correct.

@PrecisionAcc 7 ай бұрын

Another reason is that a right angle is 90 degrees, so when you take 90 x 4 you get 360

@TheZotmeister 7 ай бұрын

"Highly composite? You mean antiprime?" "Stop trying to make that a thing, Brady!"

@hakeemnaa 2 жыл бұрын

it is 2 pi calculations are not done by degrees degree is just representation after the caculations are done

@neutronenstern. 2 жыл бұрын

you could do them in degrees tho. But then if f(x)=sin(x) then f'(x)=cos(x)*360/(2π) which is inconvinient

@OVAstronomy 2 жыл бұрын

yeah, 360 is cool and all... but 2pi is the king 👑

@allegory7638 5 ай бұрын

The same thing with an inch divided into 16ths. In a (relatively) non-decimal society fractions were very important, and 16 lends itself handily to halves, fourths, eigths, thirty-seconds, etc.

@ledzpg 5 ай бұрын

The difference is that Imperial system is now obsolete, and only three countries in the whole world insists on using it. International System (metric) is just clearer, simpler, and makes sense for anyone. The 360 degree circle and the 24h clock, with the leap year and it's corrections, are the best for the task.