4

Set 3: Circles (Advanced)

Explanation

Answer: C

PROBLEM

A circle has radius 4. What is the area of a 120-degree sector? (Express as a number times pi)

A circle has radius 4. What is the area of a 120-degree sector? (Express as a number times pi)

A.

10.666666666666666pi

B.

8pi

C.

5.333333333333333pi

✓ Correct
D.

16pi

Detailed Explanation

Choice C is the best answer. Sector area = (120/360) times pi times 4 squared = 5.333333333333333pi

Why others are wrong:
A: 10.666666666666666pi is incorrect because it does not satisfy the equation.
B: 8pi is incorrect because it does not satisfy the equation.
D: 16pi is incorrect because it does not satisfy the equation.