​Roger is in an Algebra 2 class and has discovered the radian setting on his calculator. He has not learned about radians but would like to know what they are.

1. Explain to Roger how a radian is defined.

   Answer (a):

   1 radian is the angle measure found by wrapping one radius around a circle.

2. What are the steps Roger needs to do to covert $240º$ to radians?

   Hint (b):

   Us a Giante One of $\frac{\pi\text{ radians}}{180^{\circ}}$.

   Step (b):

   $240^\circ\cdot\frac{\pi\text{ radians}}{180^\circ}$

3. Show him how to change $\frac { 5 \pi } { 6 }$ radians to degrees.

   Step (c):

   $\frac{5\pi}{6}\cdot \frac{180^\circ}{\pi}=?$