16Hit1600
Geometry and TrigonometryMediumArc length as a fraction of the circumference

Geometry and Trigonometry practice question

A circle has a radius of 9. What is the length of an arc that is intercepted by a central angle of 120°, expressed as a multiple of π?

Answer: 6

Circumference: 2π(9) = 18π. A 120° arc is 120/360 = 1/3 of it: 6π. The multiple of π is 6.

Common wrong answers

If you answered 3
3π would be a 60° arc.
If you answered 18
18π is the FULL circumference.
If you answered 27
27π is (1/3) of the area (81π/3), not an arc length.

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