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anonymous

  • one year ago

help for medal

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  1. anonymous
    • one year ago
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    A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

  2. madhu.mukherjee.946
    • one year ago
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    Each length from the center to the outside is 25 ft. That's what you're given.

  3. anonymous
    • one year ago
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    ok

  4. anonymous
    • one year ago
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    yes that wat im given

  5. madhu.mukherjee.946
    • one year ago
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    ok wait

  6. anonymous
    • one year ago
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    ok

  7. madhu.mukherjee.946
    • one year ago
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    now you draw a circle and divide the circle into 20 parts so what will you get 20 angles

  8. madhu.mukherjee.946
    • one year ago
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    it will look like a wheel

  9. anonymous
    • one year ago
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    |dw:1439487283042:dw|

  10. madhu.mukherjee.946
    • one year ago
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    no

  11. madhu.mukherjee.946
    • one year ago
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    wait i'm doing it

  12. madhu.mukherjee.946
    • one year ago
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    |dw:1439487416223:dw|

  13. madhu.mukherjee.946
    • one year ago
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    this is a circle with 20 angles

  14. anonymous
    • one year ago
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    ook

  15. madhu.mukherjee.946
    • one year ago
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    now A circle has a measure of 360 degrees. We have 20 angles in that circle. What does one angle measure, then?,

  16. madhu.mukherjee.946
    • one year ago
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    360/20=18

  17. anonymous
    • one year ago
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    360/20=18

  18. madhu.mukherjee.946
    • one year ago
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    good. Now do you know how central angles relate to their arcs?

  19. anonymous
    • one year ago
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    NOT REALLY

  20. madhu.mukherjee.946
    • one year ago
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    ok

  21. anonymous
    • one year ago
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    YEA :(

  22. madhu.mukherjee.946
    • one year ago
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    Ok, well I am going to tell you and don't forget ok, cuz this is important and you will continue to use this fact throughout your years of math. The formula to find the arc length (which is not the same as the arc measure) is lenght of the arc=measure of the arc/360 * 2pi *radius :))))

  23. madhu.mukherjee.946
    • one year ago
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    Here we don't know the arc length so we fill in everything we do know and solve for the length. so , lenght of the arc=18/360* 2*pi *25

  24. madhu.mukherjee.946
    • one year ago
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    =7.85

  25. madhu.mukherjee.946
    • one year ago
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    That is correct unless you have to leave your answer in terms of pi, which is 2.5pi, then.

  26. madhu.mukherjee.946
    • one year ago
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    Now for the area of the sector.....

  27. madhu.mukherjee.946
    • one year ago
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    That also has a formula,

  28. madhu.mukherjee.946
    • one year ago
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    its's arc lenght /360 = pi r^2

  29. madhu.mukherjee.946
    • one year ago
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    The area formula for a sector of our circle is as follows: 18/360 * pi* r^2

  30. madhu.mukherjee.946
    • one year ago
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    which is equal to 98.17

  31. anonymous
    • one year ago
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    ok

  32. madhu.mukherjee.946
    • one year ago
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    did you understand the sum and the logic properly

  33. anonymous
    • one year ago
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    yes

  34. madhu.mukherjee.946
    • one year ago
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    okay great

  35. anonymous
    • one year ago
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    thank

  36. madhu.mukherjee.946
    • one year ago
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    ur welcome

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