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

10-32.

The figure below shows two concentric circles. Homework Help ✎

Circles

  1. What is the relationship between and ? How do you know?

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

  1. 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.

  1. If and , find the length of . Show all work.

Arc is a fraction of a circle with a radius of and a circumference of .

Therefore, the length of .