Question

Find the length of the indicated arc for the following circles. Either leave in terms of by entering answers with the word pi, or use 3.14 for pi and round your answer to the nearest 10th.

Answer 1

ANSWER

7.5pi

EXPLANATION

The length of an arc is given by,

When θ is measured in degrees.

In this problem, θ = 150° and r = 18/2 = 9,

$s=\frac{150}{360}\times2\pi\cdot9=\frac{15}{2}\pi=7.5\pi$

The arc length is 7.5pi