Find the area of each sector.
16) r= 16 mi, 0 = 150°
25m
3
mi²
40T
3
mi²
67 mi²
A
170065
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To find the area of a sector, you can use the formula:
Area of Sector = (θ/360) * π * r^2
where θ is the central angle in degrees, r is the radius, and π is a mathematical constant approximately equal to 3.14159.
Let's calculate the areas for the given sectors:
r = 16 mi, θ = 150°
Area of Sector = (150/360) * π * (16 mi)^2
= (5/12) * π * 256 mi^2
≈ 334.930 mi^2
Therefore, the area of sector 16 is approximately 334.930 square miles.