SOLUTION: A broken plate was dug up in a certain site. It was put on top of a grid with the plate's arc passing through A(7,0), B(1,4), and C(7,2). What is its center? What is the standar

Question 1171109: A broken plate was dug up in a certain site. It was put on top of a grid with the plate's arc passing through A(7,0), B(1,4), and C(7,2).
What is its center? What is the standard equation of the circle describing the plate's boundary?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A broken plate was dug up in a certain site. It was put on top of a grid with the plate's arc passing through A(7,0), B(1,4), and C(7,2).
What is its center? What is the standard equation of the circle describing the plate's boundary?
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Find the perpendicular bisectors of AB and AC (or BC).
The intersection of them is the center of the circle (h,k).
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The distance from the center to A, B or C is the radius r.
is the equation of the circle.
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