Mathematics

The key is remembering that $\pi$ radians equals 180°, so you can set up a simple proportion: radians and degrees are directly proportional. Multiply your radian measure by $\frac{180°}{\pi}$ to convert. This works because you're essentially replacing $\pi$ with its degree equivalent and simplifying the fraction.

The key is remembering that $\pi$ radians equals 180°, so you can set up a simple proportion: radians and degrees are directly proportional. Multiply your radian measure by $\frac{180°}{\pi}$ to convert. This works because you're essentially replacing $\pi$ with its degree equivalent and simplifying the fraction.