anonymous
  • anonymous
A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with a central angle marked 42 degrees and the diameter marked 30 feet. What is the arc length the car traveled, to the nearest hundredth?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
7.91 feet 8.32 feet 10.99 feet 11.89 feet @welshfella
calculusxy
  • calculusxy
Arc Length Formula: \[\frac{ central \angle }{ 360 degrees} \times circumference \]
anonymous
  • anonymous

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calculusxy
  • calculusxy
To find the circumference: \[C = 2\pi r\]
anonymous
  • anonymous
Ok so c=2pi(15)=94.24
calculusxy
  • calculusxy
Yes then use that with the \[\frac{ central \angle }{ 360 degrees }\]
anonymous
  • anonymous
so \[\frac{ 42 }{ 360 }\] x 94.24?
calculusxy
  • calculusxy
Yes
anonymous
  • anonymous
so that would be 10.99 which is the third answer choice! thanks so much!!
anonymous
  • anonymous
Do you mind if i ask a couple more questions?
calculusxy
  • calculusxy
I'll try to help
anonymous
  • anonymous
ok i'll set it up as a new question so i can medal u again

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