Find the

Find the content of a regular 12 sided polygon, if its side a = 12 cm.

Correct result:

S =  1612.2459 cm2

Solution:

a=12 cm n=12  A=360/n=360/12=30∘  tan⁡A/2=a/2h  h=(a/2)/tan⁡(A/2)=(12/2)/tan⁡(30/2)≐22.3923 cm  S1=h⋅ a2=22.3923⋅ 122≐134.3538 m2 S=n⋅ S1=12⋅ 134.3538=1612.2459 cm2

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