Set 1: Circles (Intermediate)

**Choice D is the best answer.** Arc length = (120/360) times 2 times pi times 4 = 2.6666666666666665pi

Explanation

Answer: D

PROBLEM

A circle has radius 4. What is the arc length of a 120-degree sector? (Express as a number times pi)

4pi

3.6666666666666665pi

8pi

2.6666666666666665pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (120/360) times 2 times pi times 4 = 2.6666666666666665pi

Why others are wrong:

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

B: 3.6666666666666665pi is incorrect because it does not satisfy the equation.

C: 8pi is incorrect because it does not satisfy the equation.