The general equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
(h, k) are the coordinates of the center.
r is the radius.
In this case:
Center: (8, 4)
Radius: 7
Then, we use the equation of the circle:
[tex](x-8)^2+(y-4)^2=7^2[/tex]
Then simplify:
[tex](x-8)^2+(y-4)^2=49[/tex] The correct answer is option 4
