Circle containing circles

Level pending

The radius of the smallest circle circumscribing the following three circles -
\(x^2+y^2-4y-5=0\)
\(x^2+y^2+12x+4y+31=0\)
\(x^2+y^2+6x+12y+36=0\)
can be written as \(3+\frac{5}{36}\sqrt{a}\).
What is the value of \(a+44\)?

×

Problem Loading...

Note Loading...

Set Loading...