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26 votes
26 votes
PLEASE HELP MY LAST ONE!!

In circle F, m/GFH = 90° and the area
16pi Find the length of
of shaded sector the arc highlighted below. Express your
answer as a fraction times π.

PLEASE HELP MY LAST ONE!! In circle F, m/GFH = 90° and the area 16pi Find the length-example-1
User Pegasis
by
2.4k points

1 Answer

13 votes
13 votes

Answer:


12\pi

Explanation:


16\pi=\pi(r^2)(90/360) \\ \\ r^2 = 64 \\ \\ r=8

So, the length of the arc is


2\pi(8)(270/360)=12\pi

PLEASE HELP MY LAST ONE!! In circle F, m/GFH = 90° and the area 16pi Find the length-example-1
User Yingyi
by
3.1k points