Question

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

the nearest tenth.

137°E

F28 m


Answer choices

1552.7

1525.7

1255.7

1555.7

Answer 1

1525.7 square meters, approximately.

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=(\pi r^(2) \alpha)/(360\°)`

Replacing given values, we have

`A=((3.14)(28)^(2) (223\°))/(360\° )=(548972.48)/(360) \approx 1525`

Therefore, the right answer is the second choice.

Answer 2

B. 1,525.7 square meters

Correct graph:

The correct graph is attached below.

Source:

Previous question that can be found at chegg

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

The correct answer is B. 1,525.7 m²