Radians to Degrees Conversion Calculator

Angle in radians (input):
Angle in degrees (result):

Degrees to Radians Converter
The angle 180° is equivalent to \(\pi\) radians and angle of 1 rad is equivalent to 57.29577°. $$ 1 [rad] = \frac{180°}{\pi} = 57.29577°$$ Generally, the angle \(\alpha\) in degrees is equal to the angle \(\alpha\) in radians multiplied by 180° and divided by \(\pi\).The previous statement can be written in the following form: $$\alpha_{degrees} = \frac{\alpha_{radians}\times 180°}{\pi}$$

Example 1

Convert \(\frac{\pi}{6}\) radians to degrees. $$\alpha_{degrees} = \frac{\frac{\pi}{6}\times 180°}{\pi}= 30°$$

Example 2

Convert \(\frac{\pi}{4}\) radians to degrees. $$\alpha_{degrees} = \frac{\frac{\pi}{4}\times 180°}{\pi}=45°$$