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perimeter

 
(pə-rĭm'ĭ-tər) pronunciation
n.
  1. Mathematics.
    1. A closed curve bounding a plane area.
    2. The length of such a boundary.
  2. The outer limits of an area. See synonyms at circumference.
  3. 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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unlike parameter, is rarely used in figurative meanings, but occasional uses are found, usually in the context of broader metaphors:
The perimeter of her own life was shrinking—J. Urquhart, Canadian English 1986.

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TechEncyclopedia:

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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Roget's Thesaurus:

perimeter

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noun

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

Antonyms by Answers.com:

perimeter

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n

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

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

See the Introduction, Abbreviations and Pronunciation for further details.

Random House Word Menu:

categories related to 'perimeter'

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Random House Word Menu by Stephen Glazier
For a list of words related to perimeter, see:

  See crossword solutions for the clue Perimeter.
Perimeter is the distance around a two dimensional shape, or the measurement of the distance around something; the length of the boundary.

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 its circumference.

Contents

Practical uses

The formula for the perimeter of a rectangle.
When a circle's radius is 1, its perimeter is 2π, 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.
square/rhombus 4s where s is the side length
rectangle 2(l + w) where l is the length and w is the width
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 ai is the length of the i-th (1st, 2nd, 3rd ... n-th) side of an n-sided polygon.

The perimeter is the distance around all of a shape. Perimeters for more general shapes can be calculated as any path with \int_0^L \mathrm{d}s where L is the length of the path and ds 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.

See also

External links


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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American Heritage 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
 Fowler's Modern English Usage. Oxford University Press. © 1999, 2004 All rights reserved.  Read more
TechEncyclopedia. THIS DEFINITION IS FOR PERSONAL USE ONLY.
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Roget's Thesaurus. Roget's II: The New Thesaurus, Third Edition by the Editors of the American Heritage® Dictionary Copyright © 1995 byHoughton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.  Read more
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