I need help fast pleaseeee

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

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

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