Rịba ama amaokwu a dị n'okpuru ma zaa ajụjụ ahụ mgbe e mesịrị n'otu asụsụ ahụ dị ka amaokwu ahụ:  Nkọwa: Archimedes nwere ike iji infinitesimals mee ihe n'ụzọ yiri nke kalịkalụ integral nke oge a. Site n'iji ihe na-emegiderịta onwe ya eme ihe (reductio ad absurdum), ọ pụrụ inye azịza nye nsogbu ruo n'ókè ọ bụla nke izi ezi, ebe ọ na-akọwa kpọmkwem ókè azịza ahụ ruru. A maara usoro a dị ka usoro nke ike ọgwụgwụ, o jikwa ya mee ihe iji gbakọọ uru nke π. Na Measurement of a Circle o mere nke a site n'ise nnukwu hexagon n'èzí okirikiri na obere hexagon n'ime okirikiri ahụ, ma jiri nwayọọ nwayọọ na-amụba ọnụ ọgụgụ 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 ziri ezi karị nke gburugburu. Mgbe o mere nke a ugboro anọ, mgbe nke ọ bụla n'ime ha nwere akụkụ 96, ọ chọpụtara na π dị n'agbata 31/7 (ihe dị ka 3.1429) na 310/71 (ihe dị ka 3.1408), nke kwekọrọ n'ihe ọ bụ n'ezie, ya bụ, ihe dị ka 3.1416. O gosikwara na ebe okirikiri dị hà ka π mụbara site na square nke radius okirikiri ahụ (πr2). N'akwụkwọ ya bụ́ On the Sphere and Cylinder, Archimedes kwuru na ihe ọ bụla buru ibu ma a tụkwasị ya n'onwe ya ọtụtụ ugboro ga-akarị ihe ọ bụla buru ibu. Nke a bụ ihe Archimedean nke ezigbo ọnụọgụ.  Ajụjụ: Gịnị bụ usoro e ji agbakọ ebe okirikiri dị?
πr2