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anonymous

  • one year ago

***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

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  1. anonymous
    • one year ago
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    @UsukiDoll

  2. UsukiDoll
    • one year ago
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    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.

  3. anonymous
    • one year ago
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    Oh wow they never gave me a formula for this

  4. UsukiDoll
    • one year ago
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    so we are given radius = 8 and our angle is 40 degrees, but I need that in radians so I need to convert \[40 \times \frac{\pi}{180}\] \[\frac{40 \pi}{180}\] \[\frac{2\pi}{9}\]

  5. UsukiDoll
    • one year ago
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    I think we almost got our arc length \[s= \frac{2\pi}{9} \times 8\]

  6. UsukiDoll
    • one year ago
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    just gotta multiply what's 2pi x 8 ?

  7. anonymous
    • one year ago
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    Wait a sec I need to get my calculator

  8. anonymous
    • one year ago
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    brb

  9. UsukiDoll
    • one year ago
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    actually... we can just leave the pi part alone ._. and just calculate 2 x 8 for the numerator.

  10. anonymous
    • one year ago
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    Sorry. I'm back now

  11. anonymous
    • one year ago
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    2x8=16

  12. UsukiDoll
    • one year ago
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    yes so our arc length is \[s= \frac{16 \pi}{9}\]

  13. anonymous
    • one year ago
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    So that makes the answer B

  14. anonymous
    • one year ago
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    Thank you so much. Now I'm sure I know how to do this. Especially since now I know what the formula is.

  15. UsukiDoll
    • one year ago
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    hmmm... Why weren't you given the formula? It was supposed to be given to you x_X

  16. anonymous
    • one year ago
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    I know, but they didn't. At least, it didn't show it on the lesson.

  17. anonymous
    • one year ago
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    I'll be right back. It'll be a few minutes

  18. anonymous
    • one year ago
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    gtg

  19. UsukiDoll
    • one year ago
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    k bye... wow shame on whoever for not giving it. -_-!

  20. anonymous
    • one year ago
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    I'm back

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