17
QuizMultiple Choice

Circumference and Arc Length — Quiz

Question 17 • MASTER COURSE Geometry

An arc on a circle measures 125 degrees The measure of the central angle, in radians, is within which range?

Answer
A
pi to 3 pi over 2 radians
B
pi over 2 to pi radians
C
3 pi over 2 to 2 pi radians
D
0 to pi over 2 radians

Explanation

Convert degrees to radians by multiplying by π/180: 125° = 125π/180 = 25π/36 radians, which is about 2.18 radians. Since π/2 is about 1.57 and π is about 3.14, the angle falls between π/2 and π radians, so the correct choice is A, “π/2 to π radians.”

AI-written and checked against the verified answer.

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