anonymous
  • anonymous
***WILL MEDAL*** Find the length of an arc of 40° in a circle with an 8 inch radius. a) 8pi/9 inches b) 16pi/9 inches c) 64pi/9 inches
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@UsukiDoll
UsukiDoll
  • UsukiDoll
ok so first we need the arc length formula which is \[s = \theta r \] where s = arc length, \[\theta \] = angle , and r is the radius.
anonymous
  • anonymous
Oh wow they never gave me a formula for this

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UsukiDoll
  • UsukiDoll
so we are given radius = 8 and our angle is 40 degrees, but I need that in radians so I need to convert \[40 \times \frac{\pi}{180}\] \[\frac{40 \pi}{180}\] \[\frac{2\pi}{9}\]
UsukiDoll
  • UsukiDoll
I think we almost got our arc length \[s= \frac{2\pi}{9} \times 8\]
UsukiDoll
  • UsukiDoll
just gotta multiply what's 2pi x 8 ?
anonymous
  • anonymous
Wait a sec I need to get my calculator
anonymous
  • anonymous
brb
UsukiDoll
  • UsukiDoll
actually... we can just leave the pi part alone ._. and just calculate 2 x 8 for the numerator.
anonymous
  • anonymous
Sorry. I'm back now
anonymous
  • anonymous
2x8=16
UsukiDoll
  • UsukiDoll
yes so our arc length is \[s= \frac{16 \pi}{9}\]
anonymous
  • anonymous
So that makes the answer B
anonymous
  • anonymous
Thank you so much. Now I'm sure I know how to do this. Especially since now I know what the formula is.
UsukiDoll
  • UsukiDoll
hmmm... Why weren't you given the formula? It was supposed to be given to you x_X
anonymous
  • anonymous
I know, but they didn't. At least, it didn't show it on the lesson.
anonymous
  • anonymous
I'll be right back. It'll be a few minutes
anonymous
  • anonymous
gtg
UsukiDoll
  • UsukiDoll
k bye... wow shame on whoever for not giving it. -_-!
anonymous
  • anonymous
I'm back

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