Question

A bakery offers a small circular cake with a diameter of 6 inches. It also offers a large circular cake with a diameter of 18 inches. Complete the explanation for wether the top of the large cake has three times the area that of the small cake.
The area of the top of the large cake is ____ pie in2 and that of the small cake is ______ pie in2. The top of the cake has an area equal to _____ times that of the small cake.

Answer 1

Answer:

The area of the top of the large cake is 9 pie in2 and that of the small cake is 81 pie in2. The top of the cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Area = πr^2

radius of small cake = 6/2 = 3 Inc

radius of large cake = 18/2 = 9Inc

Area of small cake = π3^2

= 9π

Area of large cake = π9^2

= 81π

Ratio = 81π/9π

= 9