Answer :
The area of the Dodecagon will be = 716.16 [tex]cm^{2}[/tex]
If we refer to the question given,
Length of the edges of a dodecagon = 8cm
Properties of Dodecagon
- In geometry, a polygon that is having ten sides is known as a 10-gon or Dodecagon.
- Two dimensional
- 12 interior angles
First, let us take out the perimeter of the dodecagon,
Perimeter = 12 x s
Perimeter = 12 x 8
Perimeter = 96 cm
To find the area of a dodecagon the formula used is,
A = [tex]3 * s^{2} * (2 + \sqrt{3} )[/tex]
Here s refers to the side of a dodecagon,
A = [tex]3 * 8^{2} * (2 + \sqrt{3} )[/tex]
A = 3 x 64 x 3.73
A = 716.16 [tex]cm^{2}[/tex]
Therefore, The area of the Dodecagon will be = 716.16 [tex]cm^{2}[/tex]
To know more about the area of Dodecagon,
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