SOLUTION: find the area of a regular dodecagon with side 4cm

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Question 87340: find the area of a regular dodecagon with side 4cm

Answer by favegirl13(22) About Me  (Show Source):
You can put this solution on YOUR website!
a dodecagon has 12 sides.
By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:
area=
S^2 N
___________ (the 4 represents side)
4tan(π/N)
S is the length of any side
N is the number of sides
π is PI, approximately 3.142
TAN is the tangent function calculated in radians
The area= 176.92