Question #N40
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 (1/2) * r^2 * theta, where r is the radius and theta is the central angle in radians. We are given that the radius is 5 and the central angle is 72 degrees, which is equivalent to 72 * (\pi / 180) = 2\pi/5 radians. Therefore, the area of the sector is (1/2) * 5^2 * (2\pi/5) = 5\pi square units.