Pentagon

Calculate the area of regular pentagon, which diagonal is u=17.

Correct result:

S =  325.43

Solution:

u=17 A=(180360/5)/2=54 B=360/5/2=36  a=u sin(A)=17 sin(54)13.7533 h=a/2/tan(B)=13.7533/2/tan(36)9.4649  S1=a h2=13.7533 9.4649265.0867 S=5 S1=5 65.0867=325.43



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