过圆心O作弦AB的垂线OD,
则BD＝12÷2＝6,∠BOD＝60°
∴OB＝BD/sin60°＝6÷√3/2＝4√3
弧长AB＝2×π×4√3×120°/360°＝8√3/3 π.