Question

A peqch pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice that contained exactly 5 peaches, what was the angle measure of the slice to the nearest tenth of a degree?

Answer 1

138.5°

Explanation:

Since the peach pie is a circle, we have a total angle of 360°.

We need to determine what fraction of the total pie of 13 peaches is the 5 peaches contained in Joe's slice.

This is number of peaches in Joe's slice/total number of peaches in pie = 5/13. To find the angle Joe's slice measures, we multiply 5/13 by 360°.

So, 5/13 × 360°

= 0.3846 × 360°

= 138.46°

≅ 138.5° to the nearest tenth of a degree