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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