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Radius of the track

  1. Sep 6, 2012 #1
    1. The problem statement, all variables and given/known data
    A car travels a distance of 745 m along a circular track, and the driver finds that she has traveled through an angle of 475°. What is the radius of the track?



    2. Relevant equations
    None that I know. The only thing I know is that the track is circular


    3. The attempt at a solution
    I used an example in my texbook which was identical to this one except the distance was 750 m and the angle was 450.

    First I :
    750/4=187.5( The 4 is from the 4 different quadrants)

    Then I:
    187.5/2=93.75------>94m

    The solution in the back of the book said that the answer was 95 m but I'm not to sure if this is the right procedure.

    This is the last homework problem that I have to complete before I turn it in before midnight.
     
    Last edited: Sep 6, 2012
  2. jcsd
  3. Sep 6, 2012 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    You need to know that the length of the arc of a circle is proportional to the angle.
    360° corresponds to the total circumference C of the circle. 475° angle corresponds to 745 m, so C/745=360°/475°. Calculate C. How is the circumference related to the radius?

    ehild
     
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