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.

Formulas

• Convert radians to degrees
• Convert degrees to radians

Explanation

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:

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

See also

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• Convert newton-metre [N.m] to millinewton-metre [mN.m] and vice-versa
• Convert meters per second [m/s] to kilometers per hour [km/h] and vice-versa
• Convert miles per hour [mph] to kilometers per hour [km/h] and vice-versa
• Convert newton-meter [N.m] to newton [N] and vice-versa
• Convert kilometers per hour [km/h] to radians per second [rad/s] and vice-versa
• Convert radians per second [rad/s] to meters per second [m/s] and vice-versa
• Convert radians per second [rad/s] to miles per hour [mph] and vice-versa
• Convert revolutions per minute [rpm] to radians per second [rad/s] and vice-versa
• Convert revolutions per second [rps] to radians per second [rad/s] and vice-versa
• Convert revolution per minute [rpm] to miles per hour [mph] and vice-versa
• Convert revolutions per minute [rpm] to kilometers per hour [km/h] with gear ratio and vice-versa
• Convert revolutions per minute [rpm] to kilometers per hour [km/h] and vice-versa
• Convert revolutions per minute [rpm] to meters per second [m/s] and vice-versa
• Convert revolutions per second [rps] to meters per second [m/s] and vice-versa

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