Answer:
25.35
Step-by-step explanation:
Area of the shaded portion = Area of semicircle - Area of the right triangle
Area of semicircle = πr²/2
Area of semicircle = 3.14(6)²/2
Area of semicircle = 3.14 * 18
Area of semicircle = 56.52
Area of triangle = 1/2 * base * height
Get the height using the SOH CAH TOA identity
sin 60 = H/12
H = 12sin60
H = 12(0.8660)
H = 10.39
Get the base
12² = b²+10.39²
144 = b²+108
b² = 144 - 108
b² = 36
b = 6
Area of triangle = 1/2 * 6 * 10.39
Area of triangle = 3 * 10.39
Area of triangle = 31.17
Area of shaded portion = 56.52 - 31.17
Area of shaded portion = 25.35
