Complete equation for the circle with center (4,8) and radius 2.

We are asked to determine the equation of a circle centered at (h, k) = (4, 8) and radius 2. We will apply the following equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where (h, k) is the center of the circle and "r" is the radius. Replacing the values:
[tex](x-4)^2+(y-8)^2=4[/tex]and thus we get the equation of the circle.