N'ihe atụ nke okirikiri, o mere nke a site n'ịdọrọ nnukwu hexagon n'èzí okirikiri na obere hexagon n'ime okirikiri ahụ, ma jiri nwayọọ nwayọọ mụbaa okpukpu abụọ nke akụkụ nke polygon ọ bụla, na-agbakọ ogologo nke akụkụ nke polygon ọ bụla na nzọụkwụ ọ bụla. Ka ọnụ ọgụgụ nke akụkụ na-abawanye, ọ na-aghọ ihe dị mma nke ọma nke gburugburu anọ. Mgbe nkwenye site na mgbagha (reductio ad absurdum), ọ nwere ike ịza azịza nye nsogbu ruo n'ókè ziri ezi nke ziri ezi, mgbe ọ na-akọwapụta oke nke azịza ya. A maara usoro a dị ka usoro nke ike ọgwụgwụ, ọ na-ejikwa ya iji chọpụta uru nke π. N'ihe atụ nke okirikiri, o mere nke a site n'ịdọrọ nnukwu hexagon n'èzí okirikiri na obere hexagon n'ime okirikiri ahụ, wee jiri nwayọọ nwayọọ mụbaa okpukpu abụọ nke akụkụ nke polygon ọ bụla, na-agbakọ ogologo nke akụkụ nke polygon ọ bụla na nzọ
πr2