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In the diagram at right, is a diameter of . If and , use the relationships shown in the diagram to solve for the quantities listed below.  

Circle, with center, L, radius, L, D, diameter, A, B, chord, A, c, and chord, B, c.

  1. Start by finding the measure of .

    Use the Inscribed Angle Theorem, explained in the Math Notes box in Lesson 10.1.3 to determine the measure of: .

    Since  is a right triangle: 


  1. length of the radius of

    Use the diameter, , to find the radius

  1. Use trigonometry to find the measures of the acute angles in .