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anonymous

  • one year ago

A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 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.

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  1. anonymous
    • one year ago
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    @zepdrix Could you help?

  2. anonymous
    • one year ago
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    @nincompoop

  3. anonymous
    • one year ago
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    @Hero

  4. Hero
    • one year ago
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    First step: Draw a picture of the situation.

  5. anonymous
    • one year ago
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    Okayyy...

  6. anonymous
    • one year ago
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    Like this?

  7. anonymous
    • one year ago
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    well my picture wont attach :/

  8. anonymous
    • one year ago
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    Can you still help @Hero

  9. Hero
    • one year ago
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    It's late here. Let's do it tomorrow.

  10. anonymous
    • one year ago
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    Okay , i have to get this done soon , so i"ll look for other help but that you anyway!!

  11. Hero
    • one year ago
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    I'll help you out with one thing. You can take 360 and divide it by 24 to get the central angle

  12. anonymous
    • one year ago
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    central angle is 15

  13. anonymous
    • one year ago
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    @jim_thompson5910 Helpppp??

  14. pooja195
    • one year ago
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    Central angel is not 15... :/ how did you get that?

  15. anonymous
    • one year ago
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    360 / 24?

  16. anonymous
    • one year ago
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    There are 24 cars ... the radius is 15 and the wheel is 360

  17. pooja195
    • one year ago
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    Try again rember i said that there are 2 cars ignore the 24 for right now

  18. pooja195
    • one year ago
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    360/2=?

  19. anonymous
    • one year ago
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    oh my bad okay so 360/2=180

  20. Hero
    • one year ago
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    First step: Draw a picture of the situation.

  21. pooja195
    • one year ago
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    well done :) so with 20 cars, you'd have 360/20 = 18 degrees as the central angle (2 adjacent cars)

  22. pooja195
    • one year ago
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    @Hero seems to want to help he can help you :)

  23. Hero
    • one year ago
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    I was about to fall asleep, but I saw you were helping so I left one eye open.

  24. anonymous
    • one year ago
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    so since my question asks for 24 cars it would be 360/24=15 Central Angle

  25. pooja195
    • one year ago
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    Not quite you need to find the circumference of the whole circle.

  26. anonymous
    • one year ago
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    How do i figure that out ?

  27. pooja195
    • one year ago
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    And you get 18 degrees rember \(\color{#0cbb34}{\text{Originally Posted by}}\) @pooja195 well done :) so with 20 cars, you'd have 360/20 = 18 degrees as the central angle (2 adjacent cars) \(\color{#0cbb34}{\text{End of Quote}}\) ^that and use the formula C = 2*pi*r<---to find circumference

  28. Hero
    • one year ago
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    Explain how you're going to use the circumference to find the central angle.

  29. anonymous
    • one year ago
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    94.245

  30. pooja195
    • one year ago
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    central angle is 15 <---thats right ok wait i mixed up the numbers >.< You need to find the circumference in order to get the arc length right? So first find the circumference... C = 2*pi*r r=24 (as given in the question)

  31. anonymous
    • one year ago
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    No in the question they say radius is 15 and there are 24 cars

  32. pooja195
    • one year ago
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    central angle is 15 <---thats right ok wait i mixed up the numbers >.< You need to find the circumference in order to get the arc length right? So first find the circumference... C = 2*pi*r ***r= 15(as given in the question)

  33. anonymous
    • one year ago
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    Okay, so the C = 94.245

  34. pooja195
    • one year ago
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    arc length = center angle/ 360 * pi * diameter = 15/360 * 3.1415 * (15 * 2) here I multiplied radius by 2 to get the diameter arc length = 3.93 ft Last part: Area of a Sector =theata/ 360 * pi * r^2 =15/360 * 3.1415 * (15^2) Area = 29.45 ft^2 Source: http://openstudy.com/study#/updates/5378cee8e4b0e54307956527

  35. anonymous
    • one year ago
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    Thank you, you have helped a lot!

  36. pooja195
    • one year ago
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    ;)

  37. pooja195
    • one year ago
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    thank hero instead :-)

  38. anonymous
    • one year ago
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    Thank you both!

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