gmt prep q

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gmt prep q

by yvonne12 » Wed Mar 07, 2007 8:57 am
if the area of the square region is 16, what is teharea of the circular region?


ans. 8 pi

pleaase explain

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by ssiva » Wed Mar 07, 2007 10:20 am
I am assuming the square is incribed in the cirle.

Since the area of the square is 16. Each side is 4. Hence diagonal is
4*(root 2).

Diagonal of the sqaure is the diameter of the circle. Hence radius is 2*( root 2).

Hence area of circle is pi * square of ( 2*root2) = 8pi