!!Find the area of the shaded region!! (worth 20 points)

Answer:
shaded area = 8.7 ft²
Step-by-step explanation:
area of circle = πr² = (3.14)(4²) = 50.24 ft²
apothem of hexagon = (sin 60° x 4) = 3.464
area of hexagon = 1/2(3.464)(6)(4) = 41.56 ft²
50.24 - 41.56 = 8.68 ft²