Two parallel chords of a circle of radius 2 are at a distance $$\sqrt{3} + 1$$ apart. If the chords subtend at the center, angles of $$\frac{\pi}{k}$$ and $$\frac{2 \pi}{k}$$, where k > 0, then the value of [k] is
[Note : [k] denotes the largest integer less then or equal to k]