Answer:
[tex](x-4)^2+(y-7)^2=4[/tex]
z=6
Step-by-step explanation:
The equation of a circle is satisfied by every point on it. The equation of a circle of radius r and point (h,k,l) parallel to the xy-plane is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
we can just substitute values into the equation:
[tex](x-4)^2+(y-7)^2=r^2[/tex] where z=6
The radius is 2. Therefore:
[tex](x-4)^2+(y-7)^2=4[/tex]
