16Hit1600
Geometry and TrigonometryEasy–MediumLength of one sixth of a circle

Geometry and Trigonometry practice question

An arc makes up one sixth of a circle with radius 12. The length of the arc can be written as kπ. What is the value of k?

Answer: 4

The circumference is 24π, and one sixth of it is 4π.

Common wrong answers

If you answered 2
2 uses the radius 12 instead of the circumference 24π.
If you answered 6
6 is the fraction's denominator, not the length.
If you answered 24
24 is the whole circumference.

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