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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    7.91 feet 8.32 feet 10.99 feet 11.89 feet @welshfella

  2. calculusxy
    • one year ago
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    Arc Length Formula: \[\frac{ central \angle }{ 360 degrees} \times circumference \]

  3. anonymous
    • one year ago
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  4. calculusxy
    • one year ago
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    To find the circumference: \[C = 2\pi r\]

  5. anonymous
    • one year ago
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    Ok so c=2pi(15)=94.24

  6. calculusxy
    • one year ago
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    Yes then use that with the \[\frac{ central \angle }{ 360 degrees }\]

  7. anonymous
    • one year ago
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    so \[\frac{ 42 }{ 360 }\] x 94.24?

  8. calculusxy
    • one year ago
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    Yes

  9. anonymous
    • one year ago
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    so that would be 10.99 which is the third answer choice! thanks so much!!

  10. anonymous
    • one year ago
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    Do you mind if i ask a couple more questions?

  11. calculusxy
    • one year ago
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    I'll try to help

  12. anonymous
    • one year ago
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    ok i'll set it up as a new question so i can medal u again

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