Kaplan Nursing Entrance Practice Exam

Maddy divided her circular cake into 10 equal slices and ate 3 slices. What is the degree measure of the central angle of her slices?

1. 108 degrees

2. 72 degrees

3. 90 degrees

4. 120 degrees

The correct answer is: 108 degrees

To determine the degree measure of the central angle of each slice of Maddy's circular cake, first, recognize that a full circle measures 360 degrees. Since Maddy divided her cake into 10 equal slices, each slice represents a fraction of the total circle. To find the angle corresponding to each slice, divide the total degrees in a circle by the number of slices. This calculation will provide the measure of the central angle for one slice: 360 degrees ÷ 10 slices = 36 degrees per slice. Although the answer provided indicates 108 degrees, it seems there might have been a misunderstanding. The measure of 108 degrees itself does not correspond to any slice in this scenario. The calculation indicates that each slice, regardless of how many slices she ate, retains the same central angle of 36 degrees. In this case, the degree measure of a single slice is not simply about the number of slices eaten, but about how the slices are proportioned. Thus, while the provided answer does not match the calculated central angle for one slice, the correct measure for each slice remains at 36 degrees based on the division of the total circle.