SOLUTION: The circle passes through the points (0,3),(2,4),(1,0). Find the equation of the circle

Question 480031: The circle passes through the points (0,3),(2,4),(1,0). Find the equation of the circle

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
One way to do this:
Label the points, say A, B and C
A(0,3)
B(2,4)
C(1,0)
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Find the perpendicular bisectors of AB and BC (any 2)
Solve those 2 equations, the solution is the center of the circle, point P(x,y)
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Find the distance from P to A, B or C, that's the radius.
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Then Px and Py are x & y of point P.
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I prefer to use determinants, and I have an Excel sheet thst does them.

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