### Home > CCA2 > Chapter 7 > Lesson 7.1.7 > Problem7-107

7-107.

Convert each of the following angle measures. Give exact answers. Homework Help ✎

1. $\frac { 7 \pi } { 6 }$ radians to degrees

2. $\frac { 5 \pi } { 3 }$ radians to degrees

6. $\frac { 7 \pi } { 2 }$ radians to degrees

There are multiple ways to approach these problems. Try different strategies to expand your personal toolkit.

Use Hint 1 from
problem 7-106.
Let π = 180° and simplify.
Notice, you do not need a calculator if you divide 180 by 6 as your first step.

210°

Use Hint 1 or 2 from 7-106.

Multiply $\frac{5\pi}{3}$ by $\frac{180}{\pi}$.

Simplify by factoring out Giant Ones.

Use the second part of Hint 2 from 7-106.

$\frac{{\pi}}{4}$

Use Hint 2 from 7-106 or try Hint 3:

Use the proportion $\frac{\pi}{180°}=\frac{r}{100°}$.

See parts (c) and (d).

See parts (a) and (b).

630°