Converting degrees to radians (in relation to pie)

That is, 38 degrees is .21111 radians.In summary, to convert degrees to radians, you simply multiply the degree measure by pi/180. In this case, 38 degrees is equivalent to approximately 0.21111 radians when given in terms of pi.
  • #1
steve snash
50
0

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??
 
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  • #2
If 180°= π radians

then 1° = ?
 
  • #3
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 don't know HOW to get the answer in exact pi value
 
  • #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. :)
 
  • #6
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.
 

What is the formula for converting degrees to radians?

The formula for converting degrees to radians is: radians = (degrees * π) / 180.

How do you convert a given angle from degrees to radians?

To convert an angle from degrees to radians, you simply need to multiply the angle in degrees by π and then divide it by 180.

What is the relationship between degrees and radians?

Degrees and radians are two units of measurement for angles. One degree is equal to 0.0174533 radians, and one radian is equal to 57.2958 degrees. They are used to measure the size of an angle in a circle.

What is the value of π in radians?

The value of π in radians is approximately 3.14159. This is the ratio of the circumference of a circle to its diameter and is a constant value in mathematics.

Can you convert an angle from radians to degrees?

Yes, you can convert an angle from radians to degrees by using the formula: degrees = (radians * 180) / π. This will give you the equivalent value in degrees.

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