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news | April 07, 2026

Area of circle inside a square

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I'm doing a question where I have a circle that is inscribed in a square. In the gap between the outside of the circle and the inside of the square, a 2-by-4 cm rectangle is at the vertex.

I'm supposed to find the area of the circle.

Circle inside square with a rectangle

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I know I need to find the radius of the circle to get the area but I'm sure how to get the radius. I wanted to exploit symmetry but I couldn't get it to go anywhere.

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1 Answer

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You can use the Pythagoras Theorem and find the radius of the circle.enter image description here

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