Kaplan Nursing Entrance Exam Practice 2025 – Comprehensive Prep

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What is the degree measure of the central angle encompassing Maddy's 3 slices of cake?

90 degrees

108 degrees

To determine the degree measure of the central angle that corresponds to Maddy's 3 slices of cake, we first need to understand how to calculate the central angle for each slice of cake based on the total number of slices.

A full circle is 360 degrees, and if we know the total number of slices of cake, we can find the angle that each slice represents. For instance, if Maddy's cake is divided into 10 equal slices, then each slice would have a central angle of:

\[ \text{Central angle for one slice} = \frac{360 \text{ degrees}}{\text{total number of slices}} \]

Once we find the angle for one slice, we can multiply that by the number of slices Maddy has to find the total angle for her slices.

Assuming the cake has 10 slices, the central angle for one slice would be:

\[ \frac{360}{10} = 36 \text{ degrees} \]

Therefore, for Maddy's 3 slices, the calculation would be:

\[ \text{Total central angle} = 3 \text{ slices} \times 36 \text{ degrees/slice} = 108 \text{ degrees} \]

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