Answer:
[tex](x-1)^2+(y-6)^2=16[/tex]
Step-by-step explanation:
The equation of a circle is given by [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.
From the diagram, we can find the following:
- the radius of the circle is 4
- the center of the circle is located at (1,6)
Thus, we have:
[tex](x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}[/tex]
