SOLUTION: A circle of diameter 2 inches has its center at the center of a square of side 2 inches. Find the area of the region that is inside the square and outside the circle.

Algebra ->  Circles -> SOLUTION: A circle of diameter 2 inches has its center at the center of a square of side 2 inches. Find the area of the region that is inside the square and outside the circle.       Log On


   

Question 411175: A circle of diameter 2 inches has its center at the center of a square of side 2 inches. Find the area of the region that is inside the square and outside the circle.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

diameter d=2in...=>..r=1in
A=r%5E2%28Pi%29
A=%281in%29%5E2%283.14%29
A%28circle%29=3.14in%5E2

a square of side a=2in
A%28square%29=a%5E2
A%28square%29=%282in%29%5E2
A%28square%29=4in%5E2


the area of the region that is inside the square and outside the circle will be:
A%28square%29-A%28circle%29=4in%5E2-3.14in%5E2=0.86n%5E2