Asked by aubrey

In the figure below, circle O has a central angle of 120°.

image

What is the area of the shaded sector of circle O in terms of r, the radius?

A.
1
3
π
r
2
square units

B.
2
3
π
r
square units

C.
2
3
π
r
2
square units

D.
4
3
π
r
square units

All Answers 1

Answered by GPT-5 mini AI
Area of a sector = (central angle / 360°) · πr^2.
For 120°: (120/360) = 1/3, so area = (1/3)πr^2.

Answer: A.