6 regular polygon

It is given 6 side regular polygon whose side is 5 cm. Calculate its content area. Compare how many more cm2 (square centimeters) has a circle in which is inscribed the 6-gon.

Correct result:

S =  64.9519 cm2
S2 =  13.5879 cm2

Solution:

a=5 cm  S=32 3 a2=32 3 52=64.9519 cm2
r=a=5=5 cm  S2=π r2S=3.1416 5264.9519=13.5879 cm2



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