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A circle on a coordinate grid, radius 3, center, (0, comma 0).Examine the graph of the circle at right. 

  1. What is the equation of the circle?

    Sketch a right triangle from the origin as in and label the hypotenuse with the value for the radius.

    The equation of a circle is directly derived from the Pythagorean Theorem.

  2. On graph paper, sketch the graph of  . What is the radius?

    The circle with equation  has a radius of .