USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE

  • Muhammad Kabil Djafar Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0009-0006-6872-8737
  • La Ode Safiuddin Department of Physical Education, Faculty of Teaching and Educational Science, Universitas Halu Oleo, Indonesia https://orcid.org/0000-0003-2321-5680
  • Lilis Laome Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0000-0001-8433-1621
  • Norma Muhtar Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0009-0008-8275-6261
  • Herdi Budiman Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0000-0003-0777-6453
  • Edi Cahyono Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0000-0001-9109-8688
  • La. Gubu Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0000-0003-0726-4845
  • Alfian Alfian Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0009-0009-6571-6281
  • Indra Alamsyah Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0009-0003-6865-1176
  • Askar Kohalsum Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia https://orcid.org/0009-0003-0938-475X
DOI: https://doi.org/10.30598/barekengvol19iss3pp1923-1932
Keywords: Arc length, Bounded Sequence, Increasing Function, Monotone Sequence

Abstract

This paper discusses about arc length of circles that connected any two points on a sphere. On a sphere, there are infinitely many circles that connect any two points. Using a monotone sequence of functions, we can show that the shortest arc length of circle that connect any two points on sphere is the circle with its center at the origin.

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Published
2025-07-01
How to Cite
[1]
M. K. Djafar, “USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE”, BAREKENG: J. Math. & App., vol. 19, no. 3, pp. 1923-1932, Jul. 2025.
Issue
Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Section
Articles

Copyright (c) 2025 Muhammad Kabil Djafar, La Ode Safiuddin, Lilis Laome, Norma Muhtar, Herdi Budiman, Edi Cahyono, La. Gubu, Alfian Alfian, Indra Alamsyah, Askar Kohalsum

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