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Answer:
280.6 
Step-by-step explanation:
<u>find the length of each side:</u>
you're only given h = 9 m
the formula for h is
, where a is a side length of the hexagon
plug h in:

a ≈ 10.392 m
<u>now find the area of a triangle:</u>
1/2 (10.392)(9) = 46.764 
multiply that by 6 and you get 280.584 ≈ 280.6 
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: 
-7x - 2y = -13
-7x + 7x - 2y = 7x - 13
-2y = 7x - 13
-2 -2
y = -3.5x + 6.5
x - 2y = 11
x - 2(-3.5x + 6.5) = 11
x - 2(-3.5x) - 2(6.5) = 11
x + 7x - 13 = 11
8x - 13 = 11
+ 13 + 13
8x = 24
8 8
x = 3
y = -3.5x + 6.5
y = -3.5(3) + 6.5
y = -10.5 + 6.5
y = -4
(x, y) = (3, -4)
Given:
The shaded sector above covers
of the circle.
Radius of the circle = 3 cm
To find:
The area of the sector in terms of π.
Solution:
The area of a circle is

Substituting
, we get


It is given that the shaded sector above covers
of the circle.
The area of shaded sector 


Therefore, the area of shaded sector is 3π sq. cm.