SOLUTION: In an archaeological site, a piece of a broken plate was dug up. It was put on top of a grid, with the arc of the plate passing through A (7, 2), B (1, 4) and C (−7, 0). Find its

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Question 1204888: In an archaeological site, a piece of a broken plate was dug up. It was put on top of a grid, with the arc of the plate passing through A (7, 2), B (1, 4) and C (−7, 0). Find its center and the standard equation of the circle describing the boundary of the plate.
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
the standard equation of the circle:

use point A (, )

...solve for
....eq.1

use point B (, )

....eq.2

and, use point C (,)

....eq.3

from eq.1 and eq.2 we have
...square both sides

...solve for
......(1)

from eq.2 and eq.3 we have

.....(2)

from (1) and (2) we have

go to
.....(2), substitute

=> the center is at (,)

go to

....eq.3, substitute and

equation of your circle is: