Question

A bakery offers a small circular cake with a diameter of 8 inches. It also offers a large circular cake with a diameter of 24 inches. Complete the explanation for whether the top of the large cake has three times the area of that of the small cake.

The area of the top of the large cake is
________
π in2 and that of the small cake is
________
π in2. The top of the large cake has an area equal to
________
times that of the small cake.

Answer 1

The area of the top of the large cake is
`\pi(24/2)^2=\boxed{144}\pi` in² and that of the small cake is
`\pi(8/2)^2=\boxed{16}\pi` in². The top of the large cake has an area equal to
`144/16=\boxed{9}` times that of the small cake.