### Home > CCG > Chapter 10 > Lesson 10.1.3 > Problem 10-32

10-32.

The figure below shows two concentric circles. Homework Help ✎

What is the relationship between

and ? How do you know?

They are similar. Both are the intercepted arc of central angle

Which has greater measure,

or ? Which has greater length? Explain.

We already know that both share the same central angle. Which one has a larger radius?

Both arcs have the same measure.

If

and, find the length of. Show all work.

Arc is a fraction of a circle with a radius of

Therefore, the length of