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


The figure at right shows two concentric circles.  

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

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

  2. 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.

  3. 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 .

A circle, with center, P, has points C, and D, A smaller circle, inside, also with center, P, has points, A, & B, placed so that line segment, P, C, passes through, A, and line segment, P, D, passes through, B.