Degrees to Radians Converter

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

Radians to Degrees Converter

The angle of one degree is equal to 0.01745 radians. $$1°= \frac{\pi}{180°} = 0.0055556\pi = 0.0174532 rad$$ Generally, the angle \(\alpha\) in radians is equal to the angle in degrees multiplied by the \(\pi\) constant and divided by 180°. $$\alpha_{radians} = \frac{\alpha_{degrees}\times \pi}{180°}$$

Example 1

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

Example 2

Convert 60° to radians. $$\alpha_{radians} = \frac{60°\times \pi}{180°} = \frac{\pi}{3}$$