Set 3: Circles (Intermediate)

**Choice B is the best answer.** Arc length = (90/360) times 2 times pi times 6 = 3pi

Explanation

Answer: B

PROBLEM

A circle has radius 6. What is the arc length of a 90-degree sector? (Express as a number times pi)

4pi

3pi

✓ Correct

6pi

12pi

Detailed Explanation

Choice B is the best answer. Arc length = (90/360) times 2 times pi times 6 = 3pi

Why others are wrong:

A: 4pi is incorrect because it does not satisfy the equation.

C: 6pi is incorrect because it does not satisfy the equation.

D: 12pi is incorrect because it does not satisfy the equation.

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