Pentagon

Outer radius r_o
Outer radius r_o
Number of sides 5
Side length a_5=r_o*2*sqrt((5-sqrt(5))/2)
Area $r_o*$r_o*5/8*sqrt(10+2*sqrt(5))
sum of sides 5*a_5
Outer angle 360°/5
Radius of inner circle r_i=a/(2*tan(36°))
Diagonal d=a/(1+sqrt(5))
Height h = r_o  + r_i
Sum of angles 540°



 



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