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

8-104.

What central angle, measured in degrees, corresponds to a distance around the unit circle of

? Homework Help ✎ What other angles will take you to the same point on the circle?

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

Find

, and exactly.

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.