SOLUTION: A square has an area of 32cm2 What is the area of the largest circle that can fit in it ??

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Question 994217: A square has an area of 32cm2
What is the area of the largest circle that can fit in it ??
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if a square has an area of A=32cm%5E2, then a%5E2=32cm%5E2=>a=sqrt%2832cm%5E2%29=>a=sqrt%282%2A16cm%5E2%29=>a=4sqrt%282%29cm

The diameter of the circle equals to a+=4sqrt%282%29cm
so the radius is a+=4sqrt%282%29cm%2F2=>a+=2sqrt%282%29cm
then, the area of the largest circle that can fit in it is:
A%5Bc%5D=+%28pi%29%282sqrt%282%29cm%29%5E2+=+3.14%2A%284%2A2cm%5E2%29=25.12cm%5E2