Convert any value from / to radians [rad] to degrees [deg]. Fill one of the following fields, values will be converted and updated automatically.
Since 2 radians equals 360°, it is quite easy to use the rule of Three to convert any value :
Radians | Degrees |
---|---|
0 rad | 0° |
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:
$$ \alpha_{ (rad) } = \frac { 2\pi \times \alpha_{ (deg) } } {360} = \frac {\pi \times \alpha_{ (deg) } } {180}$$