 tou circle sthiraamkam antey emti ?
 tou anede vruttam yokka chuttukolata mariyu dani vyaasaartham yokka nishpattigaa nirvachinchabadindi .  kontamandi  21 va shataabdapu ganita shaasthrajnulu mariyu bhautika shaasthravetthalu science mariyu ganithamloo upayoginchadaaniki pai kante tou utthama empika ani nammutharu .

 pai vale ,  tou anede akaraneeya mariyu ateendriya sanka .  dasaamsa ruupamloe ,  tou viluva  6.283185…

2*Pi  ledha  2π  sanka science mariyu ganitham antataa ascharyakaramaina pounahpunyamtho sambhavistundane pariseelana tou yokka preranalo bhaagam .  idi  Pi  nijanga mukhyamaina sankhya ledha remdu retlu  Pi  vaasthavaaniki marinta mukyamainadhi aney prasnanu levanettutundi .  bahusa antaraartham aemitante ,  pai anede chaaala mukhyamaina sankhyalo sariggaa sagam !

 prasna yokka tadupari pariseelana anek balavantapu pariseelanalaku dhaari teestundi :

- C/r ni kee circle sthiraamkam vale upayoginchadam manam circle ‌ nu nirvachimchae vidhanamtho merugga samalekhanam cheyabaduthundhi :  anni paayimtla sett ooka sthiira dooram  (r)  ooka give paayint ‌ nu erparustundi .
-  townu aadhara sthiraamkam vale upayoginchinappudu vruttam yokka bhinnam yokka radeon koona kolatalu marinta ardhavantamgaa untai .  pieni upayoginchi ,  vruttam yokka pavu bhagamlo  Pi  anede  Pi/2,  ooka sagam  Pi,  mariyu porthi vruttam yokka konam  2*Pi.  toutho ,  konam kolatalu vruttam yokka bhinnaniki akaaranamgaa samalekhanam cheyabadathaai :  pavu vruttam tou /4,  sagam vruttam tou /2  mariyu porthi vruttam yokka konam tou .
-  adevidhamgaa ,  papam mariyu cosine function ‌ l yokka radeon sunnalu ,  garishtam mariyu nimi thou yokka bhinnalaku ooka sahajamaina paddhatilo samalekhanam chestaayi ,  idi gandaragolaaniki badhuluga ,  ardham cheskovadaniki sahaayapadutundi .
-  saampradaayakamgaa  Pi  upayoegimchae keelaka sutralu  Tau  upayoginchi vyakteekarinchabadinappa marinta spastamaina ganita ardhaanni chooputhaayi .  udaharanaku ,  vruttam yokka vaishaalyam ,  toutho vyakteekarinchabadinappa ,  dooram padipoyina ,  vasantha sakta mariyu gati shakthilo adae chaturasrakara roopaalanu chuuputundi .
-  adevidhamgaa ,  vruthakara vaisaalyaaniki sambamdhinchina tou - aadhaaritha sutram vaasthavaaniki archimedis dwara vruthakara vaishaalyam beys  C ( chuttukolata )  mariyu etthu  r ( vyaasaartham ) thoo unna thribhujam vaisaalyaaniki samanamani choope asalaina rujuvunu nirdhaaristundi : A = 1/2 b *h = 1/2 C*r = 1/2 (Tau*r)*r = 1/2 Tau*r^2.


 tou idi modhata pratipaadinchabadinappata nundi gananiyamaina sweekarananu chusindi .

 tou mariyu pai Madhya sambandam chaaala sulabham .  tou  = 2* pai .  bahusa thou  >  pai aney vastavam kudaa antey Datia .