### Home > GC > Chapter 10 > Lesson 10.1.3 > Problem 10-29

10-29.

The figure at right shows two concentric circles.

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.

has greater length. If

and, find the length of. Show all work. Arc

is a fraction of a circle with a radius ofand a circumference of . Therefore, the length of

.