Answer:
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
[tex]A=\frac{\pi r^{2} \alpha}{360\°}[/tex]
Replacing given values, we have
[tex]A=\frac{(3.14)(28)^{2} (223\°)}{360\° }=\frac{548972.48}{360} \approx 1525[/tex]
Therefore, the right answer is the second choice.
Answer:
B. 1,525.7 square meters
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
The correct answer is B. 1,525.7 m²
