How do you convert 315 degrees into radians?

##7/4 pi## radians

To change from degrees to radians use the following formula:

degrees##*(pi## radians##/180## degrees##)##

the ##(pi/180)## means that for every ##pi## radians you go around the unit circle, you've gone ##180## degrees.

So, taking our ##315## degrees and plugging into our equation we get:

##315## degrees##*(pi## radians##/180## degrees##)##

The "degrees" cancel out, then we are left with:

##315/180*pi## radians

##315## and ##180## are both divisible by ##45##, so

##315/180=7/4##

So, then we just need to multiply by ##pi## radians and we get:

##7/4*pi## radians = ##7/4 pi## radians