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In a square with a side length of 1, two quarter circles are drawn...........What is the radius of the inscribed circle?

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In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram.
What is the radius of the inscribed circle?

enter image description here

posted Apr 6, 2020 by Nimish

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1 Answer

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3/8


As per below picture
r^2+(1/2)^2=(1-r)^2 => r=3/8


enter image description here

answer Apr 6, 2020 by Hanifa Mammadov



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