SOLUTION: Find the equation of the circle that passes through the point P(5, 2) and whose center is the point C(3, 4). Then sketch its graph.
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Question 1179837: Find the equation of the circle that passes through the point P(5, 2) and whose center is the point C(3, 4). Then sketch its graph. Answer by ikleyn(52781) (Show Source):
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Find the equation of the circle that passes through the point P(5, 2) and whose center is the point C(3, 4).
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The vector from the center to the point is 2 units (5-3 = 2) along x- axis and (-2) units (2-4 = -2) along y-axis.
Hence, the radius of the circle is r = = .
Thus the equation of the circle is
+ = 8. ANSWER
