7

Set 2: Circles (Advanced)

Explanation

Answer: C

PROBLEM

A circle has radius 3. What is the arc length of a 90-degree sector? (Express as a number times pi)

A circle has radius 3. What is the arc length of a 90-degree sector? (Express as a number times pi)

A.

2.5pi

B.

6pi

C.

1.5pi

✓ Correct
D.

3pi

Detailed Explanation

Choice C is the best answer. Arc length = (90/360) times 2 times pi times 3 = 1.5pi

Why others are wrong:
A: 2.5pi is incorrect because it does not satisfy the equation.
B: 6pi is incorrect because it does not satisfy the equation.
D: 3pi is incorrect because it does not satisfy the equation.