Length of a Chord and Side of a Regular Polygon in a Circle

Authors

  • P. S. Chandrasekaran Ph.D. Research Scholar, The Kuppuswami Sastri Research Institute (KSRI), Chennai, TN, IND. Author

DOI:

https://doi.org/10.54368/qijirse.1.3.0004

Keywords:

Dimensional Analysis, Chord, Regular Polygon, Lilāvatī, Gaṇita Kaumudī, Bhāskara II

Abstract

This paper aims to present a dimensional analysis-based approach for the derivation of Bhāskara II’s formula for the length of a chord in a circle. A restated and simplified formula of Bhāskara II for the chord length is also presented. Further, a formula for the length of the side of a regular polygon in a circle is derived. Two similar problems from Lilāvatī and Gaṇita Kaumudī are worked out and their special features are brought out.

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Published

2024/08/10

Issue

Vol. 1 No. 3 (2022)

Section

Original Articles

License

Copyright (c) 2022 Quing: IJIRSE

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Chandrasekaran, P. S. (2024). Length of a Chord and Side of a Regular Polygon in a Circle. Quing: International Journal of Innovative Research in Science and Engineering, 1(3), 58-65. https://doi.org/10.54368/qijirse.1.3.0004