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  sinA=u/2:a  a=u2/sinA=u2/sin60 =82/sin60 =82/0.866025=4.6188 cm  o=n a=6 4.6188=16 3=27.7128 cm
S1=a2 34=4.61882 349.2376 cm2  S=n S1=6 9.2376=32 3=55.4256 cm2



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