Answer:
192.5 ft²
Step-by-step explanation:
Area of the shaded region (A) = Area of the major sector + Area of the triangle.
A = (πr²θ/360)+(r²sinα)/2............. Equation 1
From the diagram,
Given: r = 8.35 ft, α = 100°, θ = 360-100 = 260°
Substitute these values into equation 1
A = (3.14×8.35²×260/360)+(8.35²×sin100×1/2)
A = 158.16+34.33
A = 192.49 ft²
A = 192.5 ft²
Hence the area of the shaded region = 192.5 ft²
