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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.The figure at right shows two concentric circles.

  1. What is the relationship between and ? How can be mapped to using a transformation?

    They are both intercepted by .
    Dilate  from  to get .

  2. Which has greater measure, or ? Which has greater length? Explain.

    Both arcs have the same central angle but are part of different circles.

  3. If and , what is the length of ? Show all work.