Radians to Degrees conversion calculator

Enter angle in radians and press the Convert button (e.g:0.5, π/2, 3π/2):

Enter Radians:		rad
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Degrees result:
Angle view:

Radians and Degrees

Radians and degrees are both units used for measuring angles. As you may know, a circle is comprised of 2π radians, which is the equivalent of 360°; both of these values represent going "once around" a circle. Therefore, 1π radian represents going 180° around a circle, which makes 180/π the perfect conversion tool for moving from radians to degrees. To convert from radians to degrees, you simply have to multiply the radian value by 180/π.

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°

 

Degrees to radians conversion ►