A regular polygon of \( 6 \) sides is formed by bending a wire of length \( 4\pi \) meter. If an electric current of \( 4\pi \sqrt{3} \, \text{A} \) is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be \( x \times 10^{-7} \, \text{T} \). The value of \( x \) is ______.
