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

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 3 (2025) · pp. 1923–1932

DOI
10.30598/barekengvol19iss3pp1923-1932
ISSN
2615-3017, 1978-7227
Published
2025-07-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

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.

Collaboration network of the authors

40 authors · 126 co-authorship links · 10 across different organisations · showing the 40 most connected

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Halu Oleo
  • Universitas Islam Negeri Imam Bonjol Padang
  • Hasanuddin University
  • State University of Malang
  • Indonesia Open University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Arman ArmanUniversitas Halu Oleo7
Natalis RansiUniversitas Halu Oleo6
Makkulau MakkulauUniversitas Halu Oleo4
Kadir KadirUniversitas Halu Oleo3
Rosliana EsoUniversitas Halu Oleo3
Busnawir BusnawirUniversitas Halu Oleo2
Agusrawati AgusrawatiUniversitas Halu Oleo2
La SurimiUniversitas Halu Oleo2
Jumadil NangiUniversitas Halu Oleo2
Adha Mashur SajiahUniversitas Halu Oleo2
La Ode SabranUniversitas Islam Negeri Imam Bonjol Padang2
Sadri SadriUniversitas Halu Oleo2
Jufra JufraAffiliation unknown2
Muhammad Andi FathoniUniversitas Halu Oleo1
Bambang PramonoUniversitas Halu Oleo1
Ika Purwanti NingrumUniversitas Halu Oleo1
Muhammad YasinUniversitas Halu Oleo1
Fahyuddin FahyuddinUniversitas Halu Oleo1
Muhammad SudiaAffiliation unknown1
Umrana UmranaAffiliation unknown1
Amanda La HadiAffiliation unknown1
Safri SafriUniversitas Halu Oleo1
Untung UntungAffiliation unknown1
Nana SumarnaAffiliation unknown1
Sufriadin SufriadinHasanuddin University1
SUDIRMAN SUDIRMANState University of Malang1
Safari SafariAffiliation unknown1
Jafar JafarIndonesia Open University1
Juliana JulianaAffiliation unknown1
Harry Setya NugrahaAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE</dc:title>
	<dc:creator>Djafar, Muhammad Kabil</dc:creator>
	<dc:creator>Safiuddin, La Ode</dc:creator>
	<dc:creator>Laome, Lilis</dc:creator>
	<dc:creator>Muhtar, Norma</dc:creator>
	<dc:creator>Budiman, Herdi</dc:creator>
	<dc:creator>Cahyono, Edi</dc:creator>
	<dc:creator>Gubu, La.</dc:creator>
	<dc:creator>Alfian, Alfian</dc:creator>
	<dc:creator>Alamsyah, Indra</dc:creator>
	<dc:creator>Kohalsum, Askar</dc:creator>
	<dc:description xml:lang="en-US">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.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-07-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17070</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss3pp1923-1932</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application; 1923-1932</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss3year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17070/10838</dc:relation>
	<dc:rights xml:lang="en-US">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</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>