Question #N166
A circle has a radius of 5 units. What is the area, in square units, of a sector of this circle that has a central angle of 72 degrees?
A. 5 \pi
B. 10 \pi
C. 20 \pi
D. 50 \pi
Correct Answer is: A
The area of a sector of a circle is given by the formula $\frac{\theta}{360} \pi r^2$, where $\theta$ is the central angle in degrees and $r$ is the radius. In this case, we have $\theta = 72$ and $r = 5$, so the area of the sector is $\frac{72}{360} \pi (5^2) = \frac{1}{5} \pi (25) = 5\pi$ square units.