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5

Set 3: Circles (Advanced)

Explanation

Answer: D

PROBLEM

A circle has radius 2. What is the area of a 60-degree sector? (Express as a number times pi)

A circle has radius 2. What is the area of a 60-degree sector? (Express as a number times pi)

A.

1.3333333333333333pi

B.

4pi

C.

4pi

D.

0.6666666666666666pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Sector area = (60/360) times pi times 2 squared = 0.6666666666666666pi

Why others are wrong:
A: 1.3333333333333333pi is incorrect because it does not satisfy the equation.
B: 4pi is incorrect because it does not satisfy the equation.
C: 4pi is incorrect because it does not satisfy the equation.
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