[Request] Is my answer correct?

So basically, I find triangle SPQ using sin rule :0.5(5) (8)(sin110) and minus it with the minor sector of the small circle :40/360(π(52)) now, with minor sector of bigger circle minus the 2nd equation: :30/360(π(82))- 2nd equation Since I have top half of the shaded region, I multiply it by 2 to get :13.4

Apparently answer is 10.9?