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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 153801 Total View: 1839630
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2024.12.004

Using the Pythagorean Theorem to Make a Square Equal to the Area of a Circle

Jiucheng Zhong

Baoxing County Zhongba High School, Ya'an 625000, Sichuan, China.

*Corresponding author: Jiucheng Zhong

Published: January 20,2025

Abstract

The drawing method of turning a circle into a square explored in this study does not need the circumference of a circle, nor does it need to draw a line segment equal to a circle or an arc. It only needs to draw 1800 arcs and diameters and draw a right triangle on a semicircle with the hypotenuse R as a right-angled side, and the square of the other right-angled side reaches 95.49% of the area of the circle. According to the Pythagorean theorem, the square of the other right-angled side can be increased. When the trial coefficient K = 0.9265, The square of the other right-angled side is equal to the area of the circle by 5 digits. In the process of continuing to try, a formula for calculating k is found, so that the diameter of the given circle is a right-angled triangle with the hypotenuse K*R as the right-angled side, and the square of the other right-angled side is equal to s =√(πR2 ) .

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How to cite this paper

Using the Pythagorean Theorem to Make a Square Equal to the Area of a Circle

How to cite this paper: Jiucheng Zhong. (2024) Using the Pythagorean Theorem to Make a Square Equal to the Area of a CircleJournal of Applied Mathematics and Computation8(4), 308-312.

DOI: http://dx.doi.org/10.26855/jamc.2024.12.004