Circle’s Ontology Extended: Circumference and Surface Area of a Circle

  • Dimitra TzoumpaEmail author
  • Theodoros KarvounidisEmail author
  • Christos DouligerisEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 916)


In this paper, we present how the use of ontologies and modern information technology tools helped students to connect geometrical meanings with mathematical concepts, based on the properties of circles and regular polygons ontologies, aiming to find the circumference and the surface area of a circle. In order to evaluate this concept, an experiment was set up in a junior high school classroom. The ontology, via abstract and combined thinking, helped the students to have a better understanding of the geometrical meanings and their dynamic interconnections.


Semantic web Ontologies Geometry Regular polygons Circle surface area Circle segment surface area Circumference of a circle 



The work presented in this paper has been partially funded by National Matching Funds 2016–2017 of the Greek Government, and more specifically by the General Secretariat for Research and Technology (GSRT), related to EU project Medusa.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of InformaticsUniversity of PiraeusPiraeusGreece

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