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Converting degrees to radians (in relation to pie)

  • #1

Homework Statement


convert 38 degrees to radians. Give the exact answer in the form of pie.


Homework Equations



180 degrees=pie

The Attempt at a Solution


not sure how to convert degrees to radians can anyone help??
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
If 180°= π radians

then 1° = ?
 
  • #3
jbunniii
Science Advisor
Homework Helper
Insights Author
Gold Member
3,394
180
Do you mean pie or pi? There's a big difference: pi is only half the pie!
 
  • #4
Pi, can somebody actually answer the question i still dont know HOW to get the answer in exact pi value
 
  • #5
54
0
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. :)
 
  • #6
HallsofIvy
Science Advisor
Homework Helper
41,833
955
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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