Set 3: Circles (Intermediate)

**Choice D is the best answer.** Arc length = (120/360) times 2 times pi times 2 = 1.3333333333333333pi

Explanation

Answer: D

PROBLEM

A circle has radius 2. What is the arc length of a 120-degree sector? (Express as a number times pi)

2.333333333333333pi

4pi

2pi

1.3333333333333333pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (120/360) times 2 times pi times 2 = 1.3333333333333333pi

Why others are wrong:

A: 2.333333333333333pi is incorrect because it does not satisfy the equation.

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

C: 2pi is incorrect because it does not satisfy the equation.