Question

If the measurement of a central angle is 5π/6, find the length of its intercepted arc in a circle with a radius of 15 inches.

Answer 1

Answer: d. 39.3 inches

Explanation:

Given the measurement of central angle (
`(5\pi)/(6)` ) and the measure of radius (15 inches), the lenght of the intercepted arc in the circle can be calculated with the formula:

`arc\ length=r\theta`

Where r represents the radius of the circle and
`\theta` the central angle.

Substituting
`\theta=(5\pi)/(6)` and
`r=15inches` into the formula
`arc\ length=r\theta`:

`arc\ length=(15inches)((5\pi)/(6))\\arc\ length=39.3inches`