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7

Set 3: Circles (Advanced)

Explanation

Answer: D

PROBLEM

A circle has radius 5. What is the area of a 60-degree sector? (Express as a number times pi)

A circle has radius 5. What is the area of a 60-degree sector? (Express as a number times pi)

A.

10pi

B.

8.333333333333332pi

C.

25pi

D.

4.166666666666666pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Sector area = (60/360) times pi times 5 squared = 4.166666666666666pi

Why others are wrong:
A: 10pi is incorrect because it does not satisfy the equation.
B: 8.333333333333332pi is incorrect because it does not satisfy the equation.
C: 25pi is incorrect because it does not satisfy the equation.
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