Hexagon ABCDEF

In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area.

Correct result:

o =  27.7128 cm
S =  55.4256 cm2

Solution:

u=8 cm n=6 A=360/n=360/6=60∘  sin⁡A=u/2:a  a=u2/sin⁡A∘=u2/sin⁡60∘ =82/sin⁡60∘ =82/0.866025=4.6188 cm  o=n⋅ a=6⋅ 4.6188=16 3=27.7128 cm
S1=a2⋅ 34=4.61882⋅ 34≐9.2376 cm2  S=n⋅ S1=6⋅ 9.2376=32 3=55.4256 cm2

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