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

geometry  Anonymous, Monday, April 25, 2016 at 2:40pm
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