Question

A sector of a circle with a 120 degree arc has an area of 75(pi)in^2. Find the radius.

Answer 1

θ = 120˚ = π/3 rad
A = rθ
75 = r/3
r = 225 in

Answer 2

is the radius 225?

Answer 3

I guess...

Answer 4

isnt it r^2=225 therefore,r=15 in ??

Answer 5

did u square root 225?

Answer 6

Sorry... Use wrong formula... I rework it...

Answer 7

yeah..

Answer 8

u dnt have to rework.. it was correct u only had to do the square root of 225 at the end. thanks :)

Answer 9

A = 0.5 r^2 θ
75π = 0.5 (π/3)(r^2)
75 = (r^2)/6
r^2 = 450
r = √450 = 15√2