著者

菅田 慶

出版者

独立行政法人 国立高等専門学校機構 広島商船高等専門学校

雑誌

広島商船高等専門学校紀要 (ISSN:18839908)

巻号頁・発行日

vol.44, pp.161-166, 2022 (Released:2022-06-13)

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The Madhava-Gregory-Leibniz series is an infinite series expansion of the circle ratio π. This is provided by Taylor expansion of arctan x. Also, we can see the series in the range of high school mathematics. However, in these processes we can not directly see the relation with π. While being fascinated by the beauty of the equation, it is for this reason that there is something which doesn’t fall in a mind. Therefore, in this paper, we derive the series briefly by using the method of subdividing the area of the circle known in India and the definite integration of high school mathematics. Furthermore, in the process, we have a visual understanding of the series by corresponding the expressions and the area.