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OpenStudy (anonymous):
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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OpenStudy (kira_yamato):
θ = 120˚ = π/3 rad A = rθ 75 = r/3 r = 225 in
OpenStudy (anonymous):
is the radius 225?
OpenStudy (kira_yamato):
I guess...
OpenStudy (king):
isnt it r^2=225 therefore,r=15 in ??
OpenStudy (anonymous):
did u square root 225?
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OpenStudy (kira_yamato):
Sorry... Use wrong formula... I rework it...
OpenStudy (king):
yeah..
OpenStudy (anonymous):
u dnt have to rework.. it was correct u only had to do the square root of 225 at the end. thanks :)
OpenStudy (kira_yamato):
A = 0.5 r^2 θ 75π = 0.5 (π/3)(r^2) 75 = (r^2)/6 r^2 = 450 r = √450 = 15√2
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