Step-by-step explanation:
Equation of a circle in standard form is given as:
[tex](x - h)^{2} + (y - k)^{2} = {r}^{2} \\ \\ \therefore \{x -( - 4) \}^{2} + (y - 6)^{2} = {7}^{2} \\ \\ \red{ \boxed{ \bold{\therefore (x + 4)^{2} + (y - 6)^{2} = 49}}} \\ is \: the \: required \: equation \: of \: circle.[/tex]
