SOLUTION: x^2+y^2-4x+6y+9=0 find the radius

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: x^2+y^2-4x+6y+9=0 find the radius       Log On


   



Question 422641: x^2+y^2-4x+6y+9=0 find the radius

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+y^2-4x+6y+9=0 find the radius
..
Standard form for a circle:
(x-h)^2+(y-k)^2=r^2, (h,k) being the (x,y) coordinates of the center, and r=radius.
..
x^2+y^2-4x+6y+9=0
completing the square,
(x^2-4x+4)+y^2+6y+9)=-9+4+9=4
(x-2)^2+(y+3)^2=4
This is a circle with center at (2,-3) with radius=sqrt(4)=2