Answer:
area = 118.04 units²
Step-by-step explanation:
area of circle = πr² = (3.14159)(8²) = 201.06 units²
area of triangle:
corner angle - 60°/2 = 30°
sin 30° = m/8, m = 4
height of triangle = 4 + 8 = 12
cos 30° = n/8, n = 6.93, n = 1/2 base
base of triangle = 13.86
area of triangle = 1/2bh = 1/2(13.86)(12) = 83.02 units²
area of shaded portion = 201.06 - 83.02 = 118.04 units²
