# Imagine a square, with each side 4 cm long, inscribed in a circle. What is the radius of the circle?

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Imagine a square, with each side 4 cm long, inscribed in a circle. What is the radius of the circle?
posted Jun 2, 2015
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## 1 Answer

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Radius of the circle will be 2*root(2) cm.
Diagonal of the square becomes the diameter of the circle.
Diagonal of the square= root(2)*side.
So radius = root(2)*4/2=root(2)*2 cm.

answer Jun 3, 2015

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