Answer:
818.4 in²
Step-by-step explanation:
shaded region = area of sector - area of triangle
area of sector = area of circle × fraction of circle
A = π × 27.8² × [tex]\frac{150}{360}[/tex] ≈ 1011.65 in²
area of triangle = 0.5 × 27.8 × 27.8 × sin150° ≈ 193.21 in²
shaded region = 1011.65 - 193.21 ≈ 818.4 in²
