# Circle containing circles

Level
pending

\(x^2+y^2-4y-5=0\)

\(x^2+y^2+12x+4y+31=0\)

\(x^2+y^2+6x+12y+36=0\)

can be written as \(3+\frac{5}{36}\sqrt{a}\).

What is the value of \(a+44\)?