I would first find the area of the sector. Then I would subtract the area of the unshaded triangle from it to find the answer.
To find the unshaded triangle, I would use sin 68.9 multiplied by 9.28, which would be its height. Then multiply the height by 9.28 and divide by two. This would lead to the area of the unshaded triangle.
Finally, subtract the area of the triangle from the sector which will be the shaded region.
