18
QuizMultiple Choice

Circumference and Arc Length — Quiz

Question 18 • MASTER COURSE Geometry

Arc CD is 2 thirds of the circumference of a circle. What is the radian measure of the central angle?

Answer
A
4 pi over 3 radians
B
3 pi over 4 radians
C
3 pi over 2 radians
D
2 pi over 3 radians

Explanation

A full circle measures 2π radians. Since arc CD is two-thirds of the circumference, its central angle is two-thirds of 2π: (2/3)(2π) = 4π/3 radians. Therefore, the correct choice is 4π/3 radians.

AI-written and checked against the verified answer.

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