Maximizing the Area of a Sector With Fixed Perimeter.
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| 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] |
| Copyright of Ohio Journal of School Mathematics is the property of Ohio Council of Teachers of Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 54846726 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=54846726 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 17 Subjects: – SubjectFull: Mathematics problems & exercises Type: general – SubjectFull: Geometry education Type: general – SubjectFull: Trigonometry education Type: general – SubjectFull: Algebra education Type: general – SubjectFull: Maxima & minima Type: general – SubjectFull: Niven, Ivan, 1915-1999 Type: general Titles: – TitleFull: Maximizing the Area of a Sector With Fixed Perimeter. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Adabor, James K. – PersonEntity: Name: NameFull: Foley, Gregory D. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Fall2010 Type: published Y: 2010 Identifiers: – Type: issn-print Value: 24725986 Numbering: – Type: issue Value: 62 Titles: – TitleFull: Ohio Journal of School Mathematics Type: main |
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