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A circle with a diameter A, B, passing through the center, C. Two additional chords, A, D, and B, D, along with the diameter form a triangle. Angle, x, is opposite the B, D, side. Angle, y, is opposite the A, D, side.Use the diagram of at right to answer the questions below. Each part is a separate problem. 

  1. If , what is ?

    Recall that the measure of each inscribed angle is half the arc it intercepts.

    What is the sum of interior angles for triangles?

  1. If and , what is the area of ?

    Knowing that is , use the Pythagorean Theorem to solve for the .

    Then from there, substitute the information you found in the equation for the area of a circle.


  2. If the radius of is and if , what is ?

    Recall your trigonometric ratios.