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

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?

1 Answer (Check Answer ▼)

3/8

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

answer Apr 6, 2020 by Hanifa Mammadov

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