
[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.The perimeter of her own life was shrinking—J. Urquhart, Canadian English 1986.
| perfectible, perfect infinitive, perfect | |
| period, periodic, periodical, permanence, permanency |
noun
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.

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.
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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.
| shape | formula | variables |
|---|---|---|
| circle | ![]() |
where is the radius. |
| triangle | ![]() |
where , and are the lengths of the sides of the triangle. |
| square/rhombus | ![]() |
where is the side length |
| rectangle | ![]() |
where is the height and is the width |
| equilateral polygon | ![]() |
where is the number of sides and is the length of one of the sides. |
| regular polygon | ![]() |
where is the number of sides and is the distance between center of the polygon and one of the vertices of the polygon. |
| general polygon | ![]() |
where is the length of the -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
where
is the length of the path and
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
-dimensional euclidean spaces can be found in the theory of Caccioppoli sets.
| The Wikibook Geometry has a page on the topic of |
| The Wikibook Geometry has a page on the topic of |
| The Wikibook Geometry has a page on the topic of |
| Look up perimeter in Wiktionary, the free dictionary. |
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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
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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