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olga_2 [115]
2 years ago
5

Help anyone i need people with the correct answerrr

Mathematics
1 answer:
Contact [7]2 years ago
5 0

Answer:

\text{area of sector} =  \frac{320\pi}{3} \text{ mi}^2

Step-by-step explanation:

Let's use the formula for the <u>area of the sector</u>:
\text{area of sector} = (\frac{\theta}{360^\circ}) \pi r^2,
where r is radius and θ the angle in degrees.

Given information:

r = 16 mi

θ = 150°

Using the formula:

\text{area of sector} = (\frac{\theta}{360^\circ}) \pi r^2 =\\\\ = (\frac{150^\circ}{360^\circ}) \pi (16\text{ mi})^2 =\\\\ = (\frac{150 \cdot 16^2}{360}) \pi \text{ mi}^2 =\\\\ = (\frac{320}{3}) \pi \text{ mi}^2 =\\\\ = \frac{320\pi}{3} \text{ mi}^2

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