CPM Homework Help : A2C Problem 8-107

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

8-107.

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

Hint:

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

$\frac { 7 \pi } { 6 }$ radians to degrees
Hint (a):
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.
Answer (a):
210°

$\frac { 5 \pi } { 3 }$ radians to degrees
Hint (b):
Use Hint 1 or 2 from 8-106.
Step 1(b):
$\text{Multiply } \frac{5 \pi}{3} \text{ by } \frac{180}{\pi}.$
Step 2(b):
Simplify by factoring out Giant Ones.

45 degrees to radians
Hint (c):
Use the second part of Hint 2 from 8-106.
Answer (c):
$\frac{{\pi}}{4}$

100° to radians
Hint (d):
Use Hint 2 from 8-106 or try Hint 3:
$\text{Use the proportion } \frac{\pi}{180°} = \frac{r}{100°}.$

810° to radians
Hint (e):
See parts (c) and (d).

$\frac { 7 \pi } { 2 }$ radians to degrees
Hint (f):
See parts (a) and (b).
Answer (f):
630°

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