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Home > A2C > Chapter Ch8 > Lesson 8.1.7 > Problem 8-107

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. radians to degrees

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

    210°

  1. radians to degrees

    Use Hint 1 or 2 from 8-106.

    Simplify by factoring out Giant Ones.

  1. 45 degrees to radians

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

  1. 100° to radians

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

  1. 810° to radians

    See parts (c) and (d).

  1. radians to degrees

    See parts (a) and (b).

    630°