Answer:
Correct answer: Fourth answer As = 73.06 m²
Step-by-step explanation:
Given:
Radius of circle R = 16 m
Angle of circular section θ = π/2
The area of a segment is obtained by subtracting from the area of the circular section the area of an right-angled right triangle.
We calculate the circular section area using the formula:
Acs = R²· θ / 2
We calculate the area of an right-angled right triangle using the formula:
Art = R² / 2
The area of a segment is:
As = Acs - Art = R²· θ / 2 - R² / 2 = R² / 2 ( θ - 1)
As = 16² / 2 · ( π/2 - 1) = 256 / 2 · ( 1.570796 - 1) = 128 · 0.570796 = 73.06 m²
As = 73.06 m²
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The answer is 68 because is repeating 3 times
Answer:
The area of the sector is 26.69
Step-by-step explanation:
First of all we need to calculate the area
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (3)²
a = 3.14 * 9
a = 28.26
The area of the circle is 28.26
A complete circle has 2pi radians
We divide 17/9 pi by 2pi and obtain the fraction of the total circle
(17pi/9) / 2pi = 17/18
we multiply this fraction with the area of the circle and obtain the area of the sector
28.26 * 17/18 = 12.43cm
The area of the sector is 26.69
Answer:
54 students
Step-by-step explanation:
45% of 120 is 54