Bibliographic Details
| Title: |
Maximizing the Area of a Sector With Fixed Perimeter. |
| Authors: |
Adabor, James K.1 james.adabor@wright.edu, Foley, Gregory D.2 foleyg@ohio.edu |
| Source: |
Ohio Journal of School Mathematics. Fall2010, Issue 62, p17-23. 7p. 5 Diagrams, 2 Charts, 1 Graph. |
| Subject Terms: |
*Mathematics problems & exercises, *Geometry education, *Trigonometry education, *Algebra education, Maxima & minima |
| People: |
Niven, Ivan, 1915-1999 |
| 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). [ABSTRACT FROM AUTHOR] |
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| Database: |
Education Research Complete |
