Question

A bakery offers a small circular cake with a diameter of 4 inches. It also offers a large circular cake with a

diameter of 12 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 ____
The area of the small cake is _____

The top of the large cake has an area equal to ____ times that of the small cake.

Answer 1

The formula in getting the area of the top is πr², because it is a circle, and we are talking about its top.

The smaller cake has the area of 4π

The larger cake has the area of 36π

Therefore, We cannot say that the larger cake is three times as big as the smaller cake since,

4 x 3 = 36

12 ≠ 36