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1

Set 1: Circles (Advanced)

Explanation

Answer: C

PROBLEM

A circle has radius 5 and an arc length of 2.5pi. What is the central angle in degrees?

A circle has radius 5 and an arc length of 2.5pi. What is the central angle in degrees?

A.

89

B.

88

C.

90

✓ Correct
D.

92

Detailed Explanation

Choice C is the best answer. Arc = (angle/360) times 2 times pi times r. 2.5pi = (angle/360) times 10pi. angle = 90 degrees

Why others are wrong:
A: 89 is incorrect because it does not satisfy the equation.
B: 88 is incorrect because it does not satisfy the equation.
D: 92 is incorrect because it does not satisfy the equation.
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