Converting Degrees to Radians

Convert $15$ degrees to radians.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
In this example, we start with degrees and want radians, so we again set up a proportion, but we substitute the given information into a different part of the proportion.

$\begin{matrix} \frac{θ}{180} & = & \frac{θ_{R}}{π} \\ \frac{15}{180} & = & \frac{θ_{R}}{π} \\ \frac{15 π}{180} & = & θ_{R} \\ \frac{π}{12} & = & θ_{R} \end{matrix}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Convert $126°$ to radians.

How did it go?