Set 1: Circles (Intermediate)

**Choice D is the best answer.** Arc length = (120/360) times 2 times pi times 7 = 4.666666666666666pi

Explanation

Answer: D

PROBLEM

A circle has radius 7. What is the arc length of a 120-degree sector? (Express as a number times pi)

7pi

5.666666666666666pi

14pi

4.666666666666666pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (120/360) times 2 times pi times 7 = 4.666666666666666pi

Why others are wrong:

A: 7pi is incorrect because it does not satisfy the equation.

B: 5.666666666666666pi is incorrect because it does not satisfy the equation.

C: 14pi is incorrect because it does not satisfy the equation.