Mathematics

Problem

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 than or equal to

k

]