perimeter

Dictionary: pe·rim·e·ter (pə-rĭm'ĭ-tər) pronunciation

Mathematics.
1. A closed curve bounding a plane area.
2. The length of such a boundary.
The outer limits of an area. See synonyms at circumference.
A fortified strip or boundary usually protecting a military position.

[Middle English perimetre, from Latin perimetros, from Greek : peri-, peri- + metron, measure; see meter².]

perimetric per'i·met'ric (pĕr'ə-mĕt'rĭk) or per'i·met'ri·cal (-rĭ-kəl) adj.
perimetrically per'i·met'ri·cal·ly adv.

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Computer Desktop Encyclopedia: perimeter

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The boundary of a system or network, which defines the inside and outside. It is typically determined by firewalls and addresses. See DMZ.

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Thesaurus: perimeter

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noun

A line around a closed figure or area: ambit, circuit, circumference, compass, periphery. See edge/center.
A fairly narrow line or space forming a boundary: border, borderline, brim, brink, edge, edging, fringe, margin, periphery, rim, verge. See edge/center.

Antonyms: perimeter

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Definition: circumference, border
Antonyms: center, heart, inside, interior, middle

US Military Dictionary: perimeter

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n. a defended boundary of a military position or base.

See the Introduction, Abbreviations and Pronunciation for further details.

Wikipedia: Perimeter

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Please help improve this article by expanding it. Further information might be found on the talk page. (October 2008)

For other uses, see Perimeter (disambiguation).

The formula for the perimeter of a rectangle.

A perimeter is a path that surrounds an area. The word comes from the Greek peri (around) and meter (measure). The term may be used either for the path or its length - it can be thought of as the length of the outline of a shape. The perimeter of a circular area is called circumference.

1 Practical uses
2 Formulas
3 See also
4 External links

Practical uses

When a circle's diameter is 1, its perimeter is π, which is also the distance it rolls in one revolution.

Calculating the perimeter has considerable practical applications. The perimeter can be used to calculate the length of fence required to surround a yard or garden. The perimeter of a wheel (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter.

Formulas

shape	formula	variables
circle	$2 \pi r\,$	where $r$ is the radius.
triangle	$a + b + c\,$	where $a$ , $b$ and $c$ are the lengths of the sides of the triangle.
equilateral polygon	$n \times a\,$	where $n$ is the number of sides and $a$ is the length of one of the sides.
regular polygon	$2nb \sin(\frac{\pi}{n})$	where $n$ is the number of sides and $b$ is the distance between center of the polygon and one of the vertices of the polygon.
general polygon	$a_{1} + a_{2} + a_{3} + \ldots + a_{n} = \sum_{i=1}^{n}a_{i}$	where $a i$ is the length of the $i$ -th (1st, 2nd, 3rd ... n-th) side of an n-sided polygon.

Perimetre is about the distance around all of a shape for e.g. circle , the perimetre around a circle is called a circumference . Perimeters for more general shapes can be calculated as any path with $\int_0^Lds$ where $L$ is the length of the path and $d s$ is an infinitesimal line element. Both of these must be replaced with other algebraic forms in order to be solved: an advanced notion of perimeter, which includes hypersurfaces bounding volumes in $n$ -dimensional euclidean spaces can be found in the theory of Caccioppoli sets.

External links

Look up perimeter in Wiktionary, the free dictionary.

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Translations: Perimeter

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Dansk (Danish)
n. - omkreds

Nederlands (Dutch)
omtrek, omheining, versterkte grens, meetinstrument voor grootte gezichtsveld

Français (French)
n. - périmètre, aux abords de

Deutsch (German)
n. - Umfang, Grenze

Ελληνική (Greek)
n. - (γεωμ.) περίμετρος

Italiano (Italian)
perimetro

Português (Portuguese)
n. - perímetro (m)

Русский (Russian)
периметр, внешняя граница

Español (Spanish)
n. - perímetro

Svenska (Swedish)
n. - omkrets, utkant

中文（简体）(Chinese (Simplified))
周长, 周界

中文（繁體）(Chinese (Traditional))
n. - 周長, 周界

한국어 (Korean)
n. - 주변, 시야계, (전선의) 전초선

日本語 (Japanese)
n. - 周囲, 周辺, 周囲の長さ

العربيه (Arabic)
‏(الاسم) محيط, نطاق, سور‏

עברית (Hebrew)
n. - ‮היקף, פרימטר‬

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Some good "perimeter" pages on the web:

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mathworld.wolfram.com

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	braced excavation
	circumference

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		Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved. Read more
		Computer Desktop Encyclopedia. THIS COPYRIGHTED DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher. © 1981-2009 Computer Language Company Inc. All rights reserved. Read more
		Thesaurus. Roget's II: The New Thesaurus, Third Edition by the Editors of the American Heritage® Dictionary Copyright © 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. Read more
		Antonyms. © 1999-2009 by Answers Corporation. All rights reserved. Read more
		US Military Dictionary. The Oxford Essential Dictionary of the U.S. Military. Copyright © 2001, 2002 by Oxford University Press, Inc. All rights reserved. Read more
		Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Perimeter". Read more
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perimeter

Contents

Practical uses

Formulas

See also

External links