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Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Articles

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

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  • Muhammad Kabil Djafar,
  • La Ode Safiuddin,
  • Lilis Laome,
  • Norma Muhtar,
  • Herdi Budiman,
  • Edi Cahyono,
  • La. Gubu,
  • Alfian Alfian,
  • Indra Alamsyah,
  • Askar Kohalsum
Muhammad Kabil Djafar
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
La Ode Safiuddin
Department of Physical Education, Faculty of Teaching and Educational Science, Universitas Halu Oleo, Indonesia
Lilis Laome
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
Norma Muhtar
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
Herdi Budiman
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
Edi Cahyono
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
La. Gubu
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
Alfian Alfian
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
Indra Alamsyah
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
Askar Kohalsum
Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, Indonesia
DOI: https://doi.org/10.30598/barekengvol19iss3pp1923-1932
Published July 1, 2025
Keywords
  • Arc length,
  • Bounded Sequence,
  • Increasing Function,
  • Monotone Sequence
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.

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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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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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