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

Answer:

$8\pi$

Step-by-step explanation:

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

The length of the arc is

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