### Home > INT3 > Chapter 9 > Lesson 9.2.4 > Problem9-137

9-137.

Recall the strategies you developed for converting between degrees and radians. Convert each of the following angle measures. Be sure to show all of your work.

Recall that $π$ radians are equal to $180^\circ$.

1. $π$ radians to degrees

1. $3π$ radians to degrees

1. $30$ degrees to radians

$30^\circ\left( \frac{\pi}{180^\circ} \right)$

1. $\frac { \pi } { 4 }$ radians to degrees

$\left( \frac{\pi}{4} \right) \left( \frac{180^\circ}{\pi} \right)$

1. $225$ degrees to radians

$\frac{5\pi}{4} \; \text{radians}$

1. $\frac { 3 \pi } { 2 }$ radians to degrees

$270^\circ$