## Radians to degrees conversion formula

One degree is equal 0.01745329252 radians:

1° = π/180° = 0.005555556π = 0.01745329252 rad

One radian is equal 57.295779513 degrees:

1 rad = 180°/π = 57.295779513°

The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant:

α_{(degrees)} = α_{(radians)} × 180° / π

or

degrees = radians × 180° / π

#### Example

Convert 0.5236 rad angle to degrees:

α_{(degrees)} = α_{(radians)} × 180° / π = 0.5236 rad × 180° / 3.1459 = 30°

How to convert degrees to radians ►