Answer:
First, compute [tex]r^{2}[/tex] using the distance formula
[tex]r^{2} =(1-2)^{2} +(4-6)^{2} =1 +4=5[/tex]
The general equation of a circle with center (h, k) and radius r is
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Therefore, the answer is
[tex](x-1)^{2} +(y-4)^{2} =5[/tex]