*Feel free to modify and personalize this study guide by clicking "Customize".*

*.*

You probably are familiar with degrees in trig, but did you know there is another way to measure angles?

These are called Radians and unlike Degrees, do not have a unit.

Why don't radians have a unit? How are they derived? Look here for guidence

**Converting Between Radians and Degrees **

.\begin{align*}\pi Radians=180^\circ \end{align*}

To go from degrees to Radians multiply your degrees by \begin{align*}\frac{\pi}{180^\circ }\end{align*}

To go from Radians to degrees multiply your radians by \begin{align*}\frac{180^\circ }{\pi}\end{align*}

**Tips and Tricks:** Since we know that \begin{align*}\pi=180^\circ \end{align*}, you can visualize \begin{align*}\pi\end{align*} radians as being half a circle. Using this trick, fill out the table below.

Radians | Degrees |

\begin{align*}\frac{\pi}{2}\end{align*} | |

\begin{align*}\frac{\pi}{3}\end{align*} | |

\begin{align*}\frac{\pi}{4}\end{align*} | |

\begin{align*}\frac{\pi}{6}\end{align*} |

**Note:** In upper level math Radians are prefered over degrees because they are unitless, so you should get used to Radians!

For extra practice, try these practice problems here.