Question

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

Answer 1

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.