如图,点\(A_{1}\)的坐标为\((2,0)\),过点\(A_{1}\)作\(x\)轴的垂线交直线\(l\):\(y= \sqrt {3}x\)于点\(B_{1}\),以原点\(O\)为圆心,\(OB_{1}\)的长为半径画弧交\(x\)轴正半轴于点\(A_{2}\);再过点\(A_{2}\)作\(x\)轴的垂线交直线\(l\)于点\(B_{2}\),以原点\(O\)为圆心,以\(OB_{2}\)的长为半径画弧交\(x\)轴正半轴于点\(A_{3}\);\(….\)按此作法进行下去,则\( \overparen {A_{2019}B_{2018}}\)的长是 ______ .