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Select the correct answer. A circle has a radius of 6 inches and a central angle of 60° what is the measure of the arc length associated with this angle? A. 6pi inches B. 3pi inches C. 2pi inches D. Pi inches

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Given:

a.) A circle has a radius of 6 inches and a central angle of 60°

To be able to determine the measure of the arc length associated with the angle, we will be using the following formula:


\text{ Arc Length = (}(\theta)/(360^(\circ)))2\pi r

We get,


\text{ Arc Length = (}(\theta)/(360^(\circ)))2\pi r
\text{ = (}(60^(\circ))/(360^(\circ)))2\pi(6)
\text{ = (}(1)/(6))2\pi(6)\text{ = (}(6)/(6))(2\pi)
\text{ Arc Length = 2}\pi

Therefore, the measure of the arc length is 2pi. The answer is letter C.

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