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what is the difference between degrees and radians? when do i use what?

 Feb 13, 2017
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Radians and degrees are both angle measures.

 

There are 2*pi radians in a circle and 

there are 360 degrees in a circle.

 

\(2\pi\;radians = 360\; degrees\\ so\\ x\; radians =(\frac{360}{2\pi})x\;degrees\\ and\\ x\;degrees = (\frac{2\pi }{360})x\;radians\)

 

Most times you can use either. 

 

For most real life things you would us  degrees.  

Like surveyers would always work in degrees. Compas bearings are in degrees.  

 

Radians are more often used in advanced mathematics.  

You probably have not used calculus yet but some of it only workks if you use radians.

 Feb 13, 2017

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