# How do you convert 315 degrees into radians?

##### 3 Answers

With this proportion:

in whitch

and

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

andif you want to convert an angle from degree to radians:

In our case:

#### Explanation:

To change from degrees to radians use the following formula:

degrees

the

So, taking our

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

So, then we just need to multiply by

#### Explanation:

The formula for converting degrees to radians is

#color(brown)("radians"="degrees"*pi/180#

Hope this helps! :)