# How do you convert from 300 degrees to radians?

##### 1 Answer

To do this conversion you have to think at what is a radian.

A radian is the angle that describes an arc of length equal to the radius.

Figure 1

To make our life easier let us make

But what is the connection with degrees?

Consider an entire circle. We know that it spans 360° but how many radians?

If you try to draw them on top of your circle you'll find that you need a little bit more than 6 of the slices of figure 1 to cover your entire circle, i.e. 6 radians and a bit.

To get the exact number consider that an entire circle is a closed arc of length

Now we have the key for our conversion:

So:

if 360° is

if I have 300° I'll have

As a proportion:

and:

If you want you can multiply the value of

Hope it helps