Question

How to find the center and radius of a circle using 3 points...
My 3 points are (2,8) (-4,6) (1,-1)
I found the Equation of the perpendicular bisector of the line between the first and second point
which was y=(3/2)x + 5

And the Equation of the perpendicular bisector of the line between the second and third point
which was y=(-1/3)x+(23/3)

Finding the center:
(3/2)x + 5 = (-1/3)x+(23/3)
(11/6)x+5=(23/3)
x=(16/11)

then i plugged X into my Y equations
y=(3/2)(16/11) + 5 =(79/11)
y=(-1/3)(16/11)+(23/3) =(79/11)

Center=(16/11, 79/11) or (1.45,7.18)

Is my Center correct and how do i find Radius?


Thanks