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Home > GC > Chapter 10 > Lesson 10.1.2 > Problem 10-21


is a regular pentagon inscribed in , meaning that each of its five vertices just touches the circle.  

  1. Draw a diagram of and  on your paper.

    A circle, center labeled, O, with points, A, B, C, D, E, spaced evenly around the circle, and consecutive points connected to create a regular pentagon, inscribed in a circle.

  2. Find . How did you find your answer?

  3. Find . What relationship did you use?

  4. Find . Is there more than one way to do this?

    How is the inscribed angle related to the intercepted arc?