Given : the center of the circle = (-4 , 4)
And the radius of the circle = r = 5
The general equation of the circle is :
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where (h,k) is the center of the circle and r is the radius of the circle
So, ( h , k ) = ( -4 , 4 ) and r = 5
so, the equation of the circle will be :
[tex]\begin{gathered} (x-(-4))^2+(y-4)^2=5^2 \\ \\ (x+4)^2+(y-4)^2=25 \end{gathered}[/tex]