tbrooks3
A sector of a circle with a 120 degree arc has an area of 75(pi)in^2. Find the radius.



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

tbrooks3
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is the radius 225?

Kira_Yamato
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I guess...

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

tbrooks3
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did u square root 225?

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

King
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yeah..

tbrooks3
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u dnt have to rework.. it was correct u only had to do the square root of 225 at the end. thanks :)

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