Heptagon's 83628

Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5cm.

Correct answer:

o =  56.3283 cm

Step-by-step explanation:

n=7 u=14.5 cm  α=nn2 180=772 180=7900128.5714   u2 = a2+a2  2 a a cos α u2 =2a2  2 a2 cos α u2/2 =a2(1  cos α)  a=1cosαu2/2=1cos128.57142857143° u2/2=1cos128.57142857143° 14.52/2=1(0.62349)14.52/2=8.04689 cm  o=n a=7 8.0469=56.3283 cm

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