Circle

Let a circle \(C_{1}\) be obtained on rolling the circle \(x^{2}+y^{2}-4 x-6 y+11=0\) upwards 4 units on the tangent \(\mathrm{T}\) to it at the point \((3,2)\). Let \(C_{2}\) be the image of \(C_{1}\) in \(\mathrm{T}\). Let \(A\) and \(B\) be the centers of circles \(C_{1}\) and \(C_{2}\) respectively, and \(M\) and \(N\) be respectively the feet of perpendiculars drawn from \(A\) and \(B\) on the \(x\)-axis. Then the area of the trapezium AMNB is :