Answer:
[tex](x-55)^2+(y+66)^2=\text{ }361[/tex]
Explanation
The general equation of a circle is expressed as;
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where;
(a, b) is the centre
r is the radius
Given
Centre = (55, -66)
Radius = 19
Substitute into the expression
[tex]\begin{gathered} (x-55)^2_{}+(y-(-66))^2=19^2 \\ (x-55)^2+(y+66)^2=\text{ }361 \end{gathered}[/tex]
This gives the required equation
