Unofficialllyy
  • Unofficialllyy
A Ferris wheel car moves from point C to point D on the circle shown below:
Mathematics
jamiebookeater
  • jamiebookeater
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Unofficialllyy
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Unofficialllyy
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What is the arc length the car traveled, to the nearest hundredth?
Unofficialllyy
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A. 7.91 feet B. 8.32 feet C. 10.99 feet D. 11.89 feet

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anonymous
  • anonymous
set up a proportion with the ratio of the angle to 360 on one side, equalling the unknown arc length over 2pi*r
welshfella
  • welshfella
or you can use arc length = radius * angle in radians
anonymous
  • anonymous
angle's in degrees tho
welshfella
  • welshfella
radians = degrees * pi/180
anonymous
  • anonymous
proportion is easier don't bother messing with radians
welshfella
  • welshfella
well the above is also useful to know
Unofficialllyy
  • Unofficialllyy
How do I find the radius?
welshfella
  • welshfella
d you are given the diameter = 30 ft
Unofficialllyy
  • Unofficialllyy
Right
welshfella
  • welshfella
have you got the answer
Unofficialllyy
  • Unofficialllyy
How do I get the radius when I am given the diameter?
welshfella
  • welshfella
by prossi's method we have 42/ 360 = x / 2pi * 15 or using radians x = 15 * 42 * pi/180
welshfella
  • welshfella
radius = half of the diameter
Unofficialllyy
  • Unofficialllyy
I got it, It's 10.99 feet
welshfella
  • welshfella
right
Unofficialllyy
  • Unofficialllyy
thank you :)
welshfella
  • welshfella
i think the radians method is slightly easier
Unofficialllyy
  • Unofficialllyy
Me too, that's the one I used
welshfella
  • welshfella
yw
welshfella
  • welshfella
all you need remember is that pi radians = 180 degrees
welshfella
  • welshfella
so to convert degrees to radians you multiply by pi/180 and for the reverse you multiply by 180/pi
Unofficialllyy
  • Unofficialllyy
Right

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