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tbrooks3

  • 2 years ago

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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  1. Kira_Yamato
    • 2 years ago
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    θ = 120˚ = π/3 rad A = rθ 75 = r/3 r = 225 in

  2. tbrooks3
    • 2 years ago
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    is the radius 225?

  3. Kira_Yamato
    • 2 years ago
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    I guess...

  4. King
    • 2 years ago
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    isnt it r^2=225 therefore,r=15 in ??

  5. tbrooks3
    • 2 years ago
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    did u square root 225?

  6. Kira_Yamato
    • 2 years ago
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    Sorry... Use wrong formula... I rework it...

  7. King
    • 2 years ago
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    yeah..

  8. tbrooks3
    • 2 years ago
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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 :)

  9. Kira_Yamato
    • 2 years ago
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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

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