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Home > A2C > Chapter 8 > Lesson 8.1.7 > Problem 8-104

8-104.
  1. What central angle, measured in degrees, corresponds to a distance around the unit circle of ? Homework Help ✎

    1. What other angles will take you to the same point on the circle?

    2. Make a sketch of the unit circle showing the resulting right triangle.

    3. Find , and exactly. Without using a calculator icon

If you can't remember, calculate.

Now multiply the angle by 7.

420°

The distance around the unit circle is 2π, no matter what point you start from.

The angle you are working with, 420°, is more than 360°. How much more?

Notice that the triangle formed is a 30°-60°-90° triangle.