Question 1142957: Find the equation of the circle. The circle passes through the points (-4,8) (4,-4) and (3,-9)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Find the equation of the circle. The circle passes through the points A(-4,8), B(4,-4) and C(3,-9)
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1 way to do this:
Label the points.
Find the perpendicular bisectors of AB and BC.
The intersection of the bisectors is the center, (h,k).
The distance from the center to any point is the radius, r.
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Another way:
| x y x^+y^2 1|
|-4 8 80 1|
| 4 -4 32 1| = 0
| 3 -9 90 1|
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The 2nd method may not be convenient, but I have an Excel sheet that does the work.
Also for parabolas, and for any conic.
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