The area of a square is d^2. What is the area of the circle which has the diagonal of the square as its diameter?

A. pi...

Question

The area of a square is d^2. What is the area of the circle which has the diagonal of the square as its diameter?

A. pi*d^2/2
B. pi*d^2
C. (3/4)*pi*d^2
D. pi*d^2/2

Accepted Answer

Area of circle = pi*d^2/2 We have a square with area d^2, so its side length is d. The diagonal of the square becomes the diameter of the circle we want. Using the Pythagorean theorem, the diagonal of a square with side d is d*sqrt(2). We then compute the area of the circle using pi*r^2 where r = diagonal/2.

The area of a square is d^2. What is the area of the circle which has the diagonal of the square as its diameter? A. pi*d^2/2 B. pi*d^2 C. (3/4)*pi*d^2 D. pi*d^2/2

The area of a square is d^2. What is the area of the circle which has the diagonal of the square as its diameter? A. pid^2/2 B. pid^2 C. (3/4)pid^2 D. pi*d^2/2