IJPAM: Volume 81, No. 1 (2012)
MEASURING AREAS: FROM POLYGONS TO LAND MAPS
Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN
Abstract. This article explains how to measure area using both simple and complicated measurement methods. Elementary school children obtain area by counting triangles; junior-high school students use Cartesian coordinates; and high-school students study Heron's formula. In this article additional methods such as the trapezoid formula and Amsler's linear planimeter are presented.
Received: July 16, 2012
AMS Subject Classification: 28A02, 00A09, 97A20
Key Words and Phrases: measurement of area, polygon, triangulation survey, Heron's formula, trapezoid formula, planimeter, Jacob amsler, polar planimeter, linear planimeter
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 1
