ArticleOpen Access http://dx.doi.org/10.26855/jamc.2025.09.006
The Method of Making a Square Equal to the Area of a Circle Directly with a Ruler
Jiucheng Zhong
Baoxing County Zhongba High School, Ya'an 625000, Sichuan, China.
*Corresponding author:Jiucheng Zhong
Published: October 29, 2025
Abstract
In the last study entitled ''Using Pythagorean Theorem to Make a Square Equal to the Area of a Circle'', I explored the application of the Pythagorean theorem to construct a square with an area equal to that of a given circle. Subsequent investigation revealed that the square formed on the hypotenuse RR and one leg of a right triangle closely approximates the area of the circle. This insight led to the development of a geometric construction method whereby the side length of the square is derived as the square root of the circle’s area using its diameter. The approach offers a theoretically grounded and computationally viable technique for achieving area equivalence between circular and square forms.
Keyword
R is the radius; diameter; K is the coefficient; the area of a circle is S=πR2
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Copyright
© 2025 by the author(s).
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license, which permits non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited and is not modified or adapted.
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How to cite this paper
The Method of Making a Square Equal to the Area of a Circle Directly with a Ruler
How to cite this paper: Jiucheng Zhong. (2025) The Method of Making a Square Equal to the Area of a Circle Directly with a Ruler. Journal of Applied Mathematics and Computation, 9(3), 202-208.
DOI: http://dx.doi.org/10.26855/jamc.2025.09.006