Question

In circle A, m/BAC= 144° and the

area of shaded sector = 407. Find the
length of the arc highlighted below.
Express your answer as a fraction times pi

Answer 1

`8\pi`

Explanation:

`40\pi=\pi(r^2)(144/360) \\ \\ r^2 =100 \\ \\ r=10`

The length of the arc is

`(2\pi)(10)(144/360)=8\pi`