10

Set 1: Circles (Advanced)

Explanation

Answer: B

PROBLEM

A circle has radius 5. What is the area of a 120-degree sector? (Express as a number times pi)

A circle has radius 5. What is the area of a 120-degree sector? (Express as a number times pi)

A.

25pi

B.

8.333333333333332pi

✓ Correct
C.

16.666666666666664pi

D.

10pi

Detailed Explanation

Choice B is the best answer. Sector area = (120/360) times pi times 5 squared = 8.333333333333332pi

Why others are wrong:
A: 25pi is incorrect because it does not satisfy the equation.
C: 16.666666666666664pi is incorrect because it does not satisfy the equation.
D: 10pi is incorrect because it does not satisfy the equation.

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