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?
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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.
{{{(x-h)^2 + (y-k)^2 = r^2}}} is the equation of the circle.