How do i find the center of a circle using 3 points.
Also need to find the radius and the equation of the circle....
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)
I need to know if i found the right center too?
Thanks