# Convert radians [rad] to degrees [°] and vice-versa

## Online converter

Convert any value from / to radians [rad] to degrees [deg]. Fill one of the following fields, values will be converted and updated automatically.

rad/s
rpm

## Explanation

Since 2 radians equals 360°, it is quite easy to use the rule of Three to convert any value :

Radians Degrees
0 rad
π rad 180°
2π rad 360°
α rad ?

It becomes trivial to deduce the following formula:

$$\alpha_{ (deg) } = \frac { 360 \times \alpha_{ (rad) } } {2\pi} = \frac { 180 \times \alpha_{ (rad) } } {\pi}$$

and vice-versa:

$$\alpha_{ (rad) } = \frac { 2\pi \times \alpha_{ (deg) } } {360} = \frac {\pi \times \alpha_{ (deg) } } {180}$$

## See also

Last update : 10/20/2018