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QuizMultiple Choice

Circumference and Arc Length — Quiz

Question 1 • MASTER COURSE Geometry

Arc CD is 1 fourth of the circumference of a circle. What is the radian measure of the central angle?

Answer
A
pi over 4 radians
B
4 pi radians
C
pi over 2 radians
D
2 pi radians

Explanation

A full circle has a circumference corresponding to a central angle of 2π radians. Since arc CD is one fourth of the circumference, its central angle is one fourth of 2π: (1/4)(2π) = π/2 radians. So the correct choice is π/2 radians.

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