SOLUTION: A piece of broken plate was dug up in an archaeological site. It was put on top of a grid with the arc of the plate passing throughA(-8,0), B(2,4),C(8,2). Find its center and the s

Question 1120657: A piece of broken plate was dug up in an archaeological site. It was put on top of a grid with the arc of the plate passing throughA(-8,0), B(2,4),C(8,2). Find its center and the standard form equation of the circle describing the boundary of the plate.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A piece of broken plate was dug up in an archaeological site. It was put on top of a grid with the arc of the plate passing through A(-8,0), B(2,4), C(8,2). Find its center and the standard form equation of the circle describing the boundary of the plate.
============
Find the perpendicular bisectors of AB and of BC.
The intersection of the 2 is the center of the circle.
The distance from the center to any of the 3 points is the radius.
============
Or:


| x    y   x^2+y^2   1|
|-8    0      64     1|
| 2    4      20     1| = 0
| 8    2      68     1|

Use a matrix

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