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Converting degrees to radians (in relation to pie)

  1. Mar 15, 2010 #1
    1. The problem statement, all variables and given/known data
    convert 38 degrees to radians. Give the exact answer in the form of pie.


    2. Relevant equations

    180 degrees=pie

    3. The attempt at a solution
    not sure how to convert degrees to radians can anyone help??
     
  2. jcsd
  3. Mar 15, 2010 #2

    rock.freak667

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    If 180°= π radians

    then 1° = ?
     
  4. Mar 15, 2010 #3

    jbunniii

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    Do you mean pie or pi? There's a big difference: pi is only half the pie!
     
  5. Mar 16, 2010 #4
    Pi, can somebody actually answer the question i still dont know HOW to get the answer in exact pi value
     
  6. Mar 16, 2010 #5
    Like rock.freak said, if you know that pi = 180o, then what is 1o?

    Let me give you a hint, if x=180, then what is 1 in terms of x? How do you get that right hand side to equal 1?

    Once you know what 1o is in terms of pi, multiply that by 38 to get your answer.

    Hope that helps. :)
     
  7. Mar 16, 2010 #6

    HallsofIvy

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    First the standard transliteration of [itex]\pi[/itex] is "pi", not "pie". That is what jbunnii was saying.

    Second, Since degrees and radians measure the same thing, they are proportional: the ratio of radian measure to degree measure for the same angle is always the same: If an angle has degree measure d and radian measure r, then
    [tex]\frac{r}{d}= \frac{\pi}{180}[/itex]
    so
    [tex]r= d\left(\frac{\pi}{180}\right)= \frac{d}{180} \pi[/tex]

    If d= 38 38/180= .21111.
     
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