Question #N52
A circle is inscribed in a square. The area of the square is 64 square units. What is the area of the circle?
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Correct Answer is: A
If the area of the square is 64, then each side of the square is 8. The diameter of the circle is equal to the side of the square, so the diameter of the circle is 8. The radius of the circle is half the diameter, or 4. The area of the circle is \pi(r)^2 = \pi(4)^2 = 16\pi.