A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 10 inches, and the area of the slice of blueberry cheesecake is 25π12 square inches.

How many slices does the cheesecake have?

The cheesecake has 12 slices.

Step-by-step explanation:

In order to solve this problem we first need to calculate the total area of the cheesecake, since it's a circle it's area is given by:

cheesecake area = pi*r²

cheesecake area = pi * (10/2) ² = pi * (5) ²

cheesecake area = 25*pi square inches

There seems to be a typing error on the slice area, from google I found that the correct area is "25pi/12" square inches per slice. Therefore the number of slices must be the division of the cheesecake total area by the area of each slice:

number of slices = 25*pi / (25*pi/12)

number of slices = 12

The cheesecake has 12 slices.

12 slices