How to Find the Area of a Sector | Maths GCSE

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This short explains how to find the area of a sector for Maths GCSE.

Here are the key points to remember:
- First, find the area of the full circle: pi x radius^2
- Then find the fraction of the circle taken up by the sector.
- Calculate pi x raduis^2 x fraction to get the area of the sector!

We hope this helps!

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You did in 1 minute what my teacher couldn’t do in 2 days

xZetaa
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I like how everyone in the comments are people who genuinely wanna learn this stuff but I’m here because my mean maths teacher is giving us a test tmr bc she doesn’t like me and my notebook isn’t written to date 🙃 I love maths honestly— but my teacher is making me slowly but surely strive towards hating it

Amanee__
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It’s something we learn during high school too

Wmann
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When teaching mate and geometry, try to use ROUND FRIENDLY NUMBERS.
70° is not round and not friendly.
The students can understand 60° much easier, as ⅙ of the circle.
Anyway, beside the weird 70°, good and clear explanation. 👍

Math teacher.

tamirerez
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Interesting and simple method. Here's how I solved it:

Area of a sector formed by an arc= length of arc * radius/2

Length of arc = radius * angle at the centre

angle needs to be in radian for the above formulae, so converting the angle to radian and substituting the relevant values, you end up with the same expression -

(70*π*8^2)/360

sauravthegreatestpot
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Can only be properly solved by eating pizza and measuring the expansion of your belly.

tophat
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Do you know what seems odd to me? Numbers that aren’t divisible by two.

iCalculatorInfo
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Use an angle selector formula, 1/2 (theta r^2)

tfg
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For anyone wondering what is the number for pi it's 3.14

LovelyKale
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I’m so thankful that I could still figure this out on my own… 😊

prug
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I really wish the YouTube algorithm blessed me with this video 2 days ago instead of now, this literally popped up on my exam yesterday.

Vck
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Thank you studying for union test haven’t done math in awhile an watching every formula video

Valleybay_Plays
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this is so simple i looked threw many sources and they were too confusing

krabs
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Simple 22/7×8×8 (area of circle)
Then (area÷360) × 70 (area of sector)

AbdulWaali
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That was way easier than i thought lol

noobyplays
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39m^2 .and the formula is teta\360*πr^2

esakikaruppasamy
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or, you can use radiants to express an Angle...
the sector area is half the angle times r squared if the angle is expressed in radiants

francescoramabelardino
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Easy when you know how. Thanks for this.

pmw