Circle Theorems Explained

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Circle Theorems Explained | Maths GCSE

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A quick example of solving a circle theorem question to help with your maths GCSE revision!
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Пікірлер: 40

@revisionboost 11 ай бұрын

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@ConstantDerivative 8 ай бұрын

I think you can use the "center angle is double the angle at the circumference" theorem first, getting 240 degrees, and then doing 360-240?

@ggmania4647 4 ай бұрын

Yes

@henry_3300 3 ай бұрын

the theorem youre referring to actually states that an inscribed angle's measure, which is what given angle 120° is, is half the length of the degree measure of the arc it intercepts (called Inscribed Angle Theorem). in this case, since we are given the angle measure, we can simply double it to find the degree measure of the arc intercepted by the inscribed angle. lastly, to find the central angle x, we must first understand that the arc that a central angle intercepts has equal degree measures as the central angle itself. in this case, to figure out the rest of the circle's arc, we simply subtract 240 from 360, yielding the result of 120°.

@Kaur370 7 ай бұрын

The sum of opposite angle in quadrilateral circumscribe a circle is 180. So 120+x=180 x =60. Therefore Centre at angle is double = 60 into 2 = 120

@rykercordova5016 4 ай бұрын

I have a state test in a bit, just refreshing my head before it so I can do my best on it.

@apsingh1792 10 ай бұрын

You are the best teacher thank you 😊 ❤

@kirki221 4 ай бұрын

I did it kind of different, I said that because angles at the centre of a circle are 2x the size of angles at the circumference, the reflex of x has to be 240 than you subtract that from 360 to get x

@WillieChiwaya-zw2bl 4 ай бұрын

Thank you your good teacher

@thebigblippity5221 Ай бұрын

So if x=120° and the angle given is also 120° then why are they not the same angle?

@mirettekengne2744 Жыл бұрын

math gives énergy😤🔌

@asilbekqurbonov5168 Жыл бұрын

thank you, bro

@ElPaume1 4 ай бұрын

The angle from the center and the 120 is related which therefore means: ô = 240° (< at center=2x < at the circumference)

@mbalikellydube9265 3 ай бұрын

No that's not a cyclic quad

@conradm7244 7 ай бұрын

The thing that confuses me is isnt the 120 also on the edge why don't we times that by 2

@preetisharma-bj5yc 6 ай бұрын

did it in my head 😅

@memerboy727 8 ай бұрын

Thanks bro

@revisionboost 8 ай бұрын

Welcome!

@_ftav8 8 ай бұрын

Couldn't we say x=120 (angles on opposite sides)?

@icecream-sv6vc 7 ай бұрын

naah noo we can't we just can't

@_ftav8 7 ай бұрын

@@icecream-sv6vc could i know the reason for that?

@icecream-sv6vc 7 ай бұрын

@@_ftav8 because there is no "angles on opposite sides" theorem for a quadrilateral like the one formed here. if we say that the angle given 120 is y, an equation for this question is (180-y)*2=x, and a value of x was chosen equal to y, which is 120. But, x doesn't need to be equal to y.

@_ftav8 7 ай бұрын

@@icecream-sv6vc Thank you very much. I appreciate it 🙏🏻🙏🏻

@fakesmile2643 6 ай бұрын

smartest unasian 🗿

@Arnavktk Жыл бұрын

very helpful

@ts-mq6ve 8 ай бұрын

g i in yr 10 an never seen that in my life

@karticksantra770 6 ай бұрын

As an indian i really solved it within 1 second

@spartanclipjya 8 ай бұрын

I solved this in like 1 seconds lmao

@freedwolves582 9 ай бұрын

Let’s ignore the fact that all quadrilaterals add up to 360 degrees

@im.rishabh_ofc 8 ай бұрын

U need to, for this question

@ConstantDerivative 8 ай бұрын

it does, but theres an extra rule for cyclic quadrilaterals

@user-no6hd7wd4t 8 ай бұрын

Wrong theorem sir X will be 30

@Grizzly01-vr4pn 3 ай бұрын

Oh dear. Back to revision for you.

@ENDO125RAPTER 9 ай бұрын

I'm pretty sure X is 90 degrees

@Little_Bubbly 9 ай бұрын

not quite, if it was 90 then there would be a square there to show that it’s a right angle

@NoorFatimaxx 9 ай бұрын

@Grizzly01-vr4pn 3 ай бұрын

Show your working... Or are you saying that it _looks_ like it should be 90°, when we all should know that such geometry diagrams should never be assumed to be to scale unless they state that they are?

@ENDO125RAPTER 3 ай бұрын

y'all do know i'm being sarcastic, right?

@Grizzly01-vr4pn 3 ай бұрын

@@ENDO125RAPTER Convenient.