Answer:
Centre(-4,7) and radius = 14
Step-by-step explanation
The given equation [tex](x+4)^{2} + (y -7)^{2} = 14^{2}[/tex] here centre (-4,7) and radius = 14
is similar to the general equation of a circle [tex](x-h)^{2} + (y -k)^{2} = r^{2}[/tex]
where (h,k) is the centre and r is the radius