Calculate the area of a regular hendecagon with a side length of 4 meters.
a 149.85 m²
③ 44 m²
©
125.46 m

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

77

step-by-step explanation: