Ratio of Area of Circle and r2 is π


Authors : Laxman S. Gogawale

Volume/Issue : Volume 10 - 2025, Issue 10 - October


Google Scholar : https://tinyurl.com/yfkmj3fz

Scribd : https://tinyurl.com/3ywwd3e8

DOI : https://doi.org/10.38124/ijisrt/25oct839

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Abstract : In this paper, some geometrical figures based on the formula (17 – 8√3) r2 are shown. It is also demonstrated how much area is formed inside and outside the circle by subtracting and comparing the border areas of these figures.

Keywords : Geometric Proof of pi, Value of pi, Simple pi.

References :

  1. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), IOSR Journal of Mathematics, Vol. 1, Issue 1, May-June 2012, pp. 18-35.
  2. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), International Journal of Engineering Research and Applications, Vol. 3, Issue 4, Jul-Aug 2013, pp. 1881-1903.
  3. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), International Journal of Mathematics and Statistics Invention, Vol. 3, Issue 2, February 2015, pp. 35-38.
  4. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), IOSR Journal of Mathematics, Vol. 12, Issue 6, Ver. I, Dec 2016, pp. 04-08.
  5. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), International Journal of Modern Engineering Research, Vol. 08, Issue 06, Jun 2018, pp. 34-38.
  6. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), International Journal of Mathematics Trends and Technology, Vol. 60, No. 4, Aug 2018, pp. 225-232.
  7. Laxman S. Gogawale, Exact Value of Pi (π) = (17 - 8√3), International Journal of Mathematics Research, ISSN 0976-5840, Vol. 12, No. 1, 2020, pp. 69-82.
  8. Laxman S. Gogawale value of pi exact or only approximate? The exact value of pi Global Journal of Mathematical Sciences: Theory and Practical. ISSN 0974-3200 Volume 17, Number 1 (2025), pp. 1-12
  9. Laxman S. Gogawale New value of pi International Journal for Multidisciplinary Research (IJFMR) E-ISSN: 2582-2160 ● sept. 2025
  10. Laxman S. Gogawale, Value of π, a Mathematical Approach International Journal on Science and Technology (IJSAT) E-ISSN: 2229-7677 IJSAT25048923 Volume 16, Issue 4, ● October-December 2025
  11. Mr Laxman S. Gogawale, Area of circle = πr² = (17 – 8√3) r² TIJER || ISSN 2349-9249 || © October 2025, Volume 12, Issue 10 || www.tijer.org

In this paper, some geometrical figures based on the formula (17 – 8√3) r2 are shown. It is also demonstrated how much area is formed inside and outside the circle by subtracting and comparing the border areas of these figures.

Keywords : Geometric Proof of pi, Value of pi, Simple pi.

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Paper Submission Last Date
31 - December - 2025

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