Problem solving through an optimization problem in geometry

Kin Keung Eric POON, Hang Chi WONG

Research output: Contribution to journalArticlespeer-review

2 Citations (Scopus)


This article adapts the problem-solving model developed by Pólya to investigate and give an innovative approach to discuss and solve an optimization problem in geometry: the Regiomontanus Problem and its application to football. Various mathematical tools, such as calculus, inequality and the properties of circles, are used to explore and reflect on the different aspects of the problem and its solution. In addition, other than the traditional calculus approach to solve this problem, an elegant geometric approach is introduced. Copyright © 2011 The Author. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications.
Original languageEnglish
Pages (from-to)53-61
JournalTeaching Mathematics and its Applications
Issue number2
Publication statusPublished - Jun 2011


Poon, K. K., & Wong, H.-C. (2011). Problem solving through an optimization problem in geometry. Teaching Mathematics and its Applications, 30(2), 53-61.


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