In the diagram, the circle graph shows how a baby polar bear spent 24 hours. How many hours did it spend playing?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-033.jpg?height=385&width=381&top_left_y=534&top_left_x=1292)
The complete central angle of a circle measures $360^{\circ}$.

This means that the angle in the circle graph associated with Playing is $360^{\circ}-130^{\circ}-110^{\circ}$ or $120^{\circ}$.

A central angle of $120^{\circ}$ represents $\frac{120^{\circ}}{360^{\circ}}=\frac{1}{3}$ of the total central angle.

This means that the baby polar bear plays for $\frac{1}{3}$ of the day, which is $\frac{1}{3} \times 24=8$ hours.

ANsWER: (C)