9

Set 2: Circles (Advanced)

Explanation

Answer: D

PROBLEM

A circle has radius 6. What is the area of a 120-degree sector? (Express as a number times pi)

A circle has radius 6. What is the area of a 120-degree sector? (Express as a number times pi)

A.

36pi

B.

12pi

C.

24pi

D.

12pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Sector area = (120/360) times pi times 6 squared = 12pi

Why others are wrong:
A: 36pi is incorrect because it does not satisfy the equation.
B: 12pi is incorrect because it does not satisfy the equation.
C: 24pi is incorrect because it does not satisfy the equation.