A piece of broken plate was dug up in an archaeological site. It was put on top of a grid with the arc of a plate passing through A(-7,0), B(1,4) and C(7,2). Find its center and the general equation of the circle describing the boundary of the plate.
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General equation of a circle:
Coordinates of the center of the circle (derived from completing the square):
The general equation of the circle is:
The center of the circle is at:
The general equation of the circle is: