Set 1: Circles (Intermediate)

**Choice D is the best answer.** Arc length = (120/360) times 2 times pi times 5 = 3.333333333333333pi

Explanation

Answer: D

PROBLEM

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

10pi

5pi

4.333333333333333pi

3.333333333333333pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (120/360) times 2 times pi times 5 = 3.333333333333333pi

Why others are wrong:

A: 10pi is incorrect because it does not satisfy the equation.

B: 5pi is incorrect because it does not satisfy the equation.

C: 4.333333333333333pi is incorrect because it does not satisfy the equation.