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- Title
Maximizing the Area of a Sector With Fixed Perimeter.
- Authors
Adabor, James K.; Foley, Gregory D.
- Abstract
Historically, many maxima and minima were found long before Newton and Leibniz developed calculus. Ivan Niven's (1981) classic Maxima and Minima Without Calculus provides a systematic and thorough account of solving extreme-value problems using elementary algebra, geometry, and trigonometry. Niven devotes a chapter to isoperimetric problems: problems that ask "for the region of largest area in a given class of regions . . . of a specified perimeter" (p. 77). We use technology as a tool to solve the isoperimetric problem for the sector of a circle—an investigation inspired by a project in Farrell and Boyd (2007).
- Subjects
MAXIMA &; minima; MATHEMATICS problems &; exercises; GEOMETRY education; TRIGONOMETRY education; ALGEBRA education; NIVEN, Ivan, 1915-1999
- Publication
Ohio Journal of School Mathematics, 2010, Issue 62, p17
- ISSN
2472-5986
- Publication type
Article