anonymous
  • anonymous
A sector of a circle with a 120 degree arc has an area of 75(pi)in^2. Find the radius.
Mathematics
chestercat
  • chestercat
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Kira_Yamato
  • Kira_Yamato
θ = 120˚ = π/3 rad A = rθ 75 = r/3 r = 225 in
anonymous
  • anonymous
is the radius 225?
Kira_Yamato
  • Kira_Yamato
I guess...

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King
  • King
isnt it r^2=225 therefore,r=15 in ??
anonymous
  • anonymous
did u square root 225?
Kira_Yamato
  • Kira_Yamato
Sorry... Use wrong formula... I rework it...
King
  • King
yeah..
anonymous
  • anonymous
u dnt have to rework.. it was correct u only had to do the square root of 225 at the end. thanks :)
Kira_Yamato
  • 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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