SOLUTION: Find an equation for the circle that goes through the these points (9,2) , (-1,12), and (-9,-4)

Algebra ->  Finance -> SOLUTION: Find an equation for the circle that goes through the these points (9,2) , (-1,12), and (-9,-4)      Log On


   



Question 1167506: Find an equation for the circle that goes through the these points (9,2) , (-1,12), and (-9,-4)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation for the circle that goes through the these points A(9,2), B(-1,12), and C(-9,-4)
------------------------
Find the perpendicular bisectors of AB and BC
Find the intersection of the 2 bisectors - That's the center of the circle, (h,k).
----
The radius is the distance from the center to any of the 3 points.
==============
%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
------------
Or:
  
| x   y  x^2+y^2  1|
| 9   2    85     1|
|-1  12   145     1| = 0
|-9  -4    97     1|