anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
WILL MEDAL
DanJS
  • DanJS
30/360 is 2pi so the whole circumference is ...
DanJS
  • DanJS
\[12\frac{ 30 }{ 360 } = 360/360 = 12*2\pi = Full ~ Circumference \]

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anonymous
  • anonymous
75.36?
DanJS
  • DanJS
That is the circumference - 24pi , you want the radius C = 2*pi*r 24pi = 2pi*r
anonymous
  • anonymous
So the radius is 4
DanJS
  • DanJS
\[r = \frac{ 24\pi }{ 2\pi }\]
anonymous
  • anonymous
69.08
anonymous
  • anonymous
Oh so the radius is 69.08?
DanJS
  • DanJS
that is not an answer choice... the correct one is there
anonymous
  • anonymous
C)
anonymous
  • anonymous
?
DanJS
  • DanJS
\[r = \frac{ 24\pi }{ 2\pi } = \frac{ 24 }{ 2 } *\frac{ \pi }{ \pi } = \frac{ 24 }{ 2 }*1\]
anonymous
  • anonymous
12?
anonymous
  • anonymous
So it's b)
anonymous
  • anonymous
Thanks so much

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