Converting degrees to radians (in relation to pie)

[steve snash]

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??

 

[rock.freak667]

If 180°= π radians

then 1° = ?

 

[jbunniii]

Do you mean pie or pi? There's a big difference: pi is only half the pie!

 

[steve snash]

Pi, can somebody actually answer the question i still don't know HOW to get the answer in exact pi value

 

[muso07]

Like rock.freak said, if you know that pi = 180^o, then what is 1^o?

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 1^o is in terms of pi, multiply that by 38 to get your answer.

Hope that helps. :)

 

[HallsofIvy]

First the standard transliteration of $\pi$ 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]<br /> so<br /> $$r= d\left(\frac{\pi}{180}\right)= \frac{d}{180} \pi$$<br /> <br /> If d= 38 38/180= .21111.[/tex]