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Assoli18 [71]
3 years ago
5

Find the area of the blue sectors formed by angle DFE. Round answer to

Mathematics
2 answers:
tatyana61 [14]3 years ago
7 0

Answer:

<u>B. 1,525.7 square meters</u>

Correct graph:

The correct graph is attached below.

Source:

Previous question that can be found at chegg

Step-by-step explanation:

Let's recall that the formula of the area of a sector of a circle is:

Area = π * r² * (C/360 ), where:

r is the radius of the circle of which the sector is part

C is the central angle in degrees

Replacing with the values provided, we have:

r = 28 meters

C = 360 - 137 = 223 (We're being asked about the blue sector area not the orange sector area)

Area = π * 28² * (223/360 )

Area = 3.1416 * 784 * 0.6194

Area = 1,525.7 m²

<u>The correct answer is B. 1,525.7 m² </u>

aivan3 [116]3 years ago
5 0

Answer:

<h2>1525.7 square meters, approximately.</h2>

Step-by-step explanation:

Notice that the radius is 28 meters, and the angle of the orange sector is 137°. However, the angle of the blue sector is:

360° - 137° = 223°

The area of a circular sector is

A=\frac{\pi r^{2}  \alpha}{360\°}

Replacing given values, we have

A=\frac{(3.14)(28)^{2} (223\°)}{360\° }=\frac{548972.48}{360} \approx 1525

Therefore, the right answer is the second choice.

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