Answer:
192.4467 ft²
Step-by-step explanation:
Area of the major sector = centre angle / 360⁰ × πr²
Area of the sector = (360 - 100)⁰/360⁰ × 3.14 × 8.35²
Area of the sector = 260⁰/360⁰ × 3.14 × 69.7225
Area of the sector = 158.1151 ft²
Area of the triangle = 1/2 × ab × sin (centre angle), where a = b = 8.35ft.
Area of the triangle = 1/2 × 8.35²× sin 100⁰
Area of the triangle = 34.3316 ft²
Therefore,
Area of the shaded region = Area of the sector + Area of the triangle
Area of the shaded region = (158.1151 + 34.3316) ft²
Area of the shaded region = 192.4467 ft²
