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This paper demonstrates a new value of π through geometric methods, highlighting limitations in current approximations.
There are some mathematical questions in the world that need some attention, of which one of them is to determine the exact value of the π. The present paper deals with finding the value of π by simple geometric methods. The paper considers the ratio of the area of the circle (π r2) and the square of the radius (r2 ) in calculating π and proves that the circle can be converted into a rectangle/square. Literature reveals that there are several values of π, but the values that are found are approximate values. This paper claims the new value of π as (17-8√3). This paper deals with the new value of π by using two different geometric methods. It is observed that the value of π obtained by both the methods is the same. Efforts are also made to identify error in current value of π.
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Laxman S. Gogawale (2025) studied this question.
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