五角形
A = 5 a 2 4 cot  π 5 = a 2 4 25 + 10 5 ≃ 1.72048 a 2 {\displaystyle A={\frac {5a^{2}}{4}}\cot {\frac {\pi }{5}}={\frac {a^{2}}{4}}{\sqrt {25+10{\sqrt {5}}}}\simeq 1.72048a^{2}}