How do you convert 25 degree to a radian?

Apr 19, 2015

With this proportion:

alpha_d:alpha_r=180°:pi

in which ${\alpha}_{d}$ 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 to 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_r=(25°*pi)/(180°)=5/36pi.

Apr 19, 2015

360 degrees = 2 pi radians

Now:

1/360 * 360 degrees = 1/360 * 2 pi radians

Therefore:

1 degree = 1/180 pi radians

25 * 1 degrees = 25 * 1/180 pi radians

Therefore:

25 degrees = 5/36 pi radians