SOLUTION: Suppose you are given a circle with an inscribed square as shown below. If the area of the square is 144 m2, then the area of the circle is? I got 38.48

Algebra ->  Surface-area -> SOLUTION: Suppose you are given a circle with an inscribed square as shown below. If the area of the square is 144 m2, then the area of the circle is? I got 38.48      Log On


   



Question 1028052: Suppose you are given a circle with an inscribed square as shown below. If the area of the square is 144 m2, then the area of the circle is?
I got 38.48

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If a square is inscribed, its diagonal is the diameter of the circle.
If its area is 144 m^2, then its side is 12 m and its diagonal is 12*sqrt(2).
That means the radius is 6*sqrt(2).
The area of the circle is
A = (pi)r^2 = 72(pi) = 226.2 m^2