SOLUTION: Find an equation of the circle: (2,-5), (18,25)

Question 538337: Find an equation of the circle: (2,-5), (18,25)
Answer by KMST(5398) (Show Source): You can put this solution on YOUR website!
Your problem may have been
"Find an equation for the circle centered at (2,-5), that contains the point (18,25)."
I'll solve that.
According to Pythagoras, the radius (r) of that circle, squared, is

If a point (x,y) is in that circle, its distance to the center is also r, so according to Pythagoras,

An elegant form of the equation for that circle would be

No memorized formulas were abused in the solving of this problem.
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