Regular 5-gon

Calculate the area of the regular pentagon with side 16 cm.

Correct answer:

S =  440.4 cm2

Step-by-step explanation:

n=5 a=16 cm  α=360/(2 n)=360/(2 5)=36   v=2a/tanα=2a/tan36° =216/tan36° =216/0.726543=11.01106 cm S1=21 a v=21 16 11.011188.0884 cm2  S=n S1=5 88.0884=440.4 cm2



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