How to convert radians to degrees

Pi radians are equal to 180 degrees:

π rad = 180°

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 2 radians angle to degrees:

α_(degrees) = α_(radians) × 180° / π = 2 × 180° / 3.14159 = 114.592°

Radians to degrees conversion table