Posted by **ainder** on Wednesday, December 23, 2009 at 10:38pm.

Find the area of a square inscribed in a circle of radius 10cm

- geometry -
**MathMate**, Thursday, December 24, 2009 at 7:38am
The diagonal of a square inscribed in the given circle measures the same as the diameter of the circle, 2*10=20 cm.

Since the diagonal cuts the square into two right triangles, we consider one of the two right triangles.

Let the side of the square = x,

then area of square = x²

From Pythagoras theorem,

x² + x² = 20²

we conclude that

area of square = x² = 20²/2

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