Answer:option A is the correct answer.
Step-by-step explanation:
A hendecagon is a polygon with eleven sides. Therefore, a regular hendecagon has 11 equal sides and eleven equal angles.
The formula for determining the area of a hendecagon is expressed as
Area = 11/4 × Cot(π/11) × s^2
Where
s represents the side length of the hendecagon.
From the given information,
s = 4 meters
2π = 360 degrees
π = 360/2 = 180 degrees.
Therefore,
Area = 11/4 × Cot(180/11) × 4^2
Area = 11/4 × Cot(16.363636) × 4^2
Area = 11/4 × 3.4057 × 16
Area = 149.85m^2
Answer:
1288m2
Step-by-step explanation:
A= 1/2aP
Where: a is apothem; perpendicular distance from the center of polygon to one of the sides
and p is the perimeter
When you drop the perpendicular distance, it will bisect the side into two, which the form number of triangles.
4m/2=2m and form the right angle
Using the angle rule: SOHCATOA
Angle side:360/11=32.72
One side length=4tan32.72
14.64m then multiplying by 2=29.27, hence the perimeter is given by
29.72x11=322
A=1/2x4x322
A=1288m2
