Find area of the circle | Mathematics | Page 1

rustic pebble Feb 20, 2026, 1:14 AM

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Hello,
I am asked to find the area of a circle inscribed inside of a square.
Mind giving me a helping hand?

karmic ibexBOT Feb 20, 2026, 1:14 AM

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sweet zenith Feb 20, 2026, 1:50 AM

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how about connecting the point where the smaller square touches the circle to the bottom right corner of the biggest square @rustic pebble

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see what you can recognise

rustic pebble Feb 20, 2026, 1:51 AM

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I solved it

sweet zenith Feb 20, 2026, 1:51 AM

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oh nice

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what was your method

rustic pebble Feb 20, 2026, 1:51 AM

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The center of the square to the bottom left is r+r*sqrt(2)

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since you can form a square with the radi as the sides

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and since its a square, just set the expression equal to 12 sqrt(2)

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and then you have the radius

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then you can find the area from there

sweet zenith Feb 20, 2026, 1:54 AM

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i see, very efficient

mortal flame Feb 20, 2026, 5:35 AM

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Jst curious is this invitational a from this yr

rustic flare Feb 25, 2026, 2:14 AM

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,tex
$r\sqrt{2} + r + 12\sqrt{2} = 24\sqrt{2}$

#Find area of the circle