Answer
The center of this circle is $(3,-5)$
The radius of the circle is $5$
Work Step by Step
We can write the general equation for a circle:
$(x-a)^2+(y-b)^2 = r^2$
where $(a,b)$ is the center of the circle and $r$ is the radius
We can rearrange and factor the given equation:
$x^2+y^2-6x+10y+9=0$
$x^2-6x+y^2+10y=-9$
$x^2-6x+9+y^2+10y+25=-9+9+25$
$(x-3)^2+(y+5)^2 = 25$
The center of this circle is $(3,-5)$
The radius of the circle is $5$
