[Math] find center of circle from one point,knowing radius

circles

I have a problem that I have to solve. I need to find center of the circle containing the point $(x,y)$. The point is $x=2,y=3$ with radius $r=3$. I need to find the center of circle. Is there equation for that? I use this equation.
$$(x-h)^2+(y-k)^2=r^2$$
How I can find $h$ and $k$ for the center of circle if I know the point on circle and the diameter of circle?

Best Answer

You have one equation in two unknowns, so should not expect a unique solution. Draw a circle around $(2,3)$ with radius $3$. Any of the points on this circle could be the center of the circle you seek.

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