Question

April is cutting a homemade apple pie into equal slices, each with a central angle of 45° . If the diameter of the pie is 10 inches, what is the area of each slice to the nearest tenth of a square inch?

Answer 1

Explanation:

First, we need to calculate the radius of the pie. Since the diameter is 10 inches, the radius is 10/2 = 5 inches.

The next step is to calculate the area of the entire pie. The area of a circle is pi * r^2, where pi is approximately 3.14 and r is the radius. In this case, the area of the pie is 3.14 * 5^2 = 78.5 square inches.

Since each slice has a central angle of 45°, there are 360/45 = 8 slices in the pie.

The area of each slice is therefore 78.5/8 = 9.8125 square inches.

To the nearest tenth of a square inch, the area of each slice is 9.8 square inches.