(1)∵扇形OAB的圆心角α为120°,半径为6,∴l= 120π×6 180 =4π;S弓形=S扇形OAB-S△OAB= 120π×62 360 - 1 2 ×6×6×sin120°=12π-9 3 ;(2)由已知等式变形得: 4tanα?2 5+3tanα =10,整理得:tanα=-2.