Home > A2C > Chapter 8 > Lesson 8.1.7 > Problem8-107

8-107.

Convert each of the following angle measures. Give exact answers.

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

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

Use Hint 1 from
problem 8-106.
Let $π = 180°$ and simplify.
Notice, you do not need a calculator if you divide 180 by 6 as your first step.

210°

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

Use Hint 1 or 2 from 8-106.

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

Simplify by factoring out Giant Ones.

Use the second part of Hint 2 from 8-106.

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

Use Hint 2 from 8-106 or try Hint 3:

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

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