Study the pie chart and answer the question that follows.

The pie chart shows the numbers of hours used for different activities of the day. Total hours in a day are 24.

What is the measure of the central angle with respect to sleep?

Correct option is C

Given:

Total hours in a day = 24

Hours spent on sleep = 8

The total central angle of a circle = 360°

Concept Used:

The central angle for any activity in a pie chart is calculated using the formula:

​$$\text{Central Angle} = \left( \frac{\text{Hours for activity}}{\text{Total hours}} \right) \times 360\degree$$​

Solution:

​$$\text{Central Angle for Sleep} = \left( \frac{8}{24} \right) \times 360\degree = \frac{1}{3} \times 360\degree= 120^\circ$$​