Degrees and Radians

Degrees and radians are two units for measuring angles. 1 full rotation (360 degrees) is equal to 2π radians.

To convert degrees to radians, multiply the degree measure by $$\frac{\pi}{180}$$ .

To convert radians to degrees, multiply the radian measure by $$\frac{180}{\pi}$$ .

A right angle is $$\frac{\pi}{2}$$ radians.

A straight angle is $$\pi$$ radians.

A full rotation is equal to 2π radians.

$$\frac{\pi}{3}$$ radians is equal to 60 degrees.

$$\frac{2\pi}{3}$$ radians is equal to 120 degrees.

$$\frac{3\pi}{2}$$ radians is equal to 270 degrees.

$$\frac{5\pi}{6}$$ radians is equal to 150 degrees.