# How do you convert #(5pi)/4# into degrees?

##### 2 Answers

Apr 19, 2015

With this proportion:

in whitch

and

So, if you want to convert an angle from radians in degree:

and if you want to convert an angle from degree to radians:

In our case:

Apr 19, 2015

2 pi radians = 360 degrees

Therefore:

pi radians = 180 degrees

This means that:

5/4 * pi radians = 5/4 * 180 degrees

And as a result:

**5/4 pi radians = 225 degrees**