如图ABCD是平行四边形,AD=8cm,AB=10cm,角DAB=30度,高CH=4cm,弧BE、DF分别以AB、CD为半径,弧DM、BN分别以AD、CB为半径,阴影部分的面积为______.
S阴=(S扇ABE+S扇CDF-S平ABCD)-(S平ABCD-S扇AMD-S扇CBN)=S扇ABE+S扇AMD+S扇CDF+S扇CBN-2S平ABCD=2(S扇ABE+S扇CBN-S平ABCD )=2×(30×π×102360+30×π×82360-10×4 )=2×(25π3+16π3-40)=2×(41π3-40...