3

Set 3: Circles (Intermediate)

Explanation

Answer: D

PROBLEM

Recent studies show that a circle has radius 2. What is the arc length of a 90-degree sector? (Express as a number times pi)

A circle has radius 2. What is the arc length of a 90-degree sector? (Express as a number times pi)

A.

2pi

B.

4pi

C.

2pi

D.

1pi

✓ Correct

Detailed Explanation

[Variation 1] Choice D is the best answer. Arc length = (90/360) times 2 times pi times 2 = 1pi

Why others are wrong:
A: 2pi 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.