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

Apr 19, 2015

With this proportion:

alpha_d:alpha_r=180°:pi

in whitch ${\alpha}_{d}$ is the measure of the angle in degree,

and ${\alpha}_{r}$ is the measure of the angle in radians.

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

a_d=(alpha_r*180°)/pi

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

a_r=(alpha_d*pi)/(180°).

In our case:

a_d=(5/4pi*180°)/pi=225°.

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