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anonymous

  • one year ago

What is the radius of a circle in which a 30° arc is 2pi inches long? a) 24 inches b) 12 inches c) 2√3 inches

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  1. anonymous
    • one year ago
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    WILL MEDAL

  2. DanJS
    • one year ago
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    30/360 is 2pi so the whole circumference is ...

  3. DanJS
    • one year ago
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    \[12\frac{ 30 }{ 360 } = 360/360 = 12*2\pi = Full ~ Circumference \]

  4. anonymous
    • one year ago
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    75.36?

  5. DanJS
    • one year ago
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    That is the circumference - 24pi , you want the radius C = 2*pi*r 24pi = 2pi*r

  6. anonymous
    • one year ago
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    So the radius is 4

  7. DanJS
    • one year ago
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    \[r = \frac{ 24\pi }{ 2\pi }\]

  8. anonymous
    • one year ago
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    69.08

  9. anonymous
    • one year ago
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    Oh so the radius is 69.08?

  10. DanJS
    • one year ago
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    that is not an answer choice... the correct one is there

  11. anonymous
    • one year ago
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    C)

  12. anonymous
    • one year ago
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    ?

  13. DanJS
    • one year ago
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    \[r = \frac{ 24\pi }{ 2\pi } = \frac{ 24 }{ 2 } *\frac{ \pi }{ \pi } = \frac{ 24 }{ 2 }*1\]

  14. anonymous
    • one year ago
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    12?

  15. anonymous
    • one year ago
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    So it's b)

  16. anonymous
    • one year ago
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    Thanks so much

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