Area of the sector = (80/360)πr² = (2/9)π(5)² ≈ 8.77
180 - 80 = 100
sin(100) = h/5
h = 5sin(100) ≈ 4.8
Area of triangle = (1/2)bh = (1/2)(5)(4.8sin(100)) ≈ 11.96
8.77 - 11.96 ≈ -3.19
Note that the area is negative, which doesn't make physical sense. This is because the triangle extends beyond the sector, so the shaded region does not have a well-defined area.
sorry if wrong.