Manuscript Number : SHISRRJ19263

Betelihem Number and Its Application on Area and Circumference Approximation of Circles

Authors(2) :-Daniel Arficho Gaenore, Kindie Fentakun Muchie

It is trivial that area and circumference of a circle depends on pi value and its radius. Many authors used this fact to derive the formula for area and circumference of a circle. This research shows that approximation methods of area and circumference of a circle depend on its radius only.In this manuscript, we introduce new approaches for approximating area inside of a circle and circumference of a circle. Area of triangles and congruence of triangles concepts are used for area and circumference of circles approximation. Moreover, Pythagoras theorem is used for deriving approximation methods for area inside of a circle and circumference of a circle. Further, Betelihem number is constructed and two basic infinite sequences of real numbers, namely, Betelihem sequence and Ethio sequence are introduced. Ethio series is constructed based on Betelihem sequence and Ethio sequence. It is proved that Betelihem sequence is convergent sequence. Moreover, Betelihem product is constructed.

Authors and Affiliations

Daniel Arficho Gaenore
Department of Mathematics, Wachamo University, Hossana, Ethiopia
Kindie Fentakun Muchie
Department of Epidemiology and Biostatistics, Bahir Dar University, Bahir Dar, Ethiopia

Approximation, Betelihem Number, Bounded, Convergence, Monotonic, Partial Sum

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Publication Details

Published in : Volume 2 | Issue 6 | November-December 2019
Date of Publication : 2019-12-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 06-14
Manuscript Number : SHISRRJ19263
Publisher : Shauryam Research Institute

ISSN : 2581-6306

Cite This Article :

Daniel Arficho Gaenore, Kindie Fentakun Muchie, "Betelihem Number and Its Application on Area and Circumference Approximation of Circles", Shodhshauryam, International Scientific Refereed Research Journal (SHISRRJ), ISSN : 2581-6306, Volume 2, Issue 6, pp.06-14, November-December.2019
URL : https://shisrrj.com/SHISRRJ19263

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