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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.
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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.
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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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