Question #N845
A circle is inscribed in a square. The length of a side of the square is $8\sqrt{2}$ centimeters. What is the area, in square centimeters, of the circle?
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Correct Answer is: B
The diameter of the circle is equal to the length of a side of the square. Since the length of a side of the square is $8\sqrt{2}$ centimeters, the diameter of the circle is $8\sqrt{2}$ centimeters, and the radius of the circle is half of that, $4\sqrt{2}$ centimeters. The area of the circle is $\pi r^2 = \pi (4\sqrt{2})^2 = 64\pi$ square centimeters.