A circle is centered at (−4, 9) and has a radius of 11.What is the equation of the circle?Enter the equation in the box using lower case variables x and y._____________________

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-4}{ h},\stackrel{9}{ k})\qquad \qquad radius=\stackrel{11}{ r} \\\\\\\ [x-(-4)]^2+[y-9]=11^2\implies (x+4)^2+(y-9)^2=121[/tex]