Without Using Pi, Area & Perimeter of Circle by Fulati - Suranjan Formulae

Probir Roy¹

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.4 , pp.1-9, Aug-2021

Online published on Aug 31, 2021

Copyright © Probir Roy . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, an attempt has been taken to find out the Area and Circumference or Perimeter of Circle, without using Constant pi, by the Fulati-Suranjan formulae (up to two decimal places) along with a new constant, named Probir’s Constant denoted by the Bengali letter roshsho li-kar ?. To fulfill these purposes here, have been used some Theorems, Lemmas, Corollaries, the inner circle & the outer circle of the same square, also the inner square & the outer square of the same circle. It is noted that some of these theorem, lemma, and corollary are more or less discussed and proven formally or informally in various articles & online math portals. We think that the method established through this paper will be helpful for mathematics readers, especially those are students. It also seems that the concerned students can memorize and apply the formulas without using conventional constant pi.

Key-Words / Index Term :
Archimedes, circle, area, pi, diameter, li-kar

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