The perimeter is the distance around a given two-dimensional object. The word perimeter is a Greek root meaning measure around, or literally "around-measure".

Practical uses

Calculations of perimeter and area have considerable practical applications. Perimeter is used in calculating the border of an object such as a yard or flowerbed when a fence or other border is being installed around the edges. Area is used when all the area inside of a perimeter is being covered with something, such as a yard being covered with sod or fertilizer.

In military usage, the term perimeter defines a geographic area of importance, such as a physical installation or defensive work, but can also refer to a theoretical construct such as an all-round defense formed by a small group of soldiers, the purpose of which is mutual protection of each other rather than defence of actual territory.



As a general rule, the perimeter of a polygon can always be calculated by adding all the length of the sides together.So, the formula for triangles is P=a+b+c, where a, b and c stand for each side of it. For quadrilaterals the equation is P=a+b+c+d or P=a+b+a+b. For equilateral polygons, P=na, where "n" is the number of sides and "a" is the measure of the side.


For circles the equation is: P = 2 pi ror: P = pi d

where P is the perimeter, r is the circle's radius, pi is the mathematical constant pi, and d is the circle's diameter.

In general

If r is considered to be the distance from the center of a regular polygon to one of its vertices (or in the case of a circle, the radius), the following holds true:: P = frac{dA}{dr}
* P stands for the perimeter,
* d stands for the differential operator
* r stands for the radius
* A stands for the area

See also

* Isoperimetric inequality
* Circumference
* Pythagorean Theorem
* Wetted perimeter

External links

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  • Perimeter — Per*im e*ter, n. [Gr. ?; ? around + ? measure: cf. F. p[ e]rim[ e]tre.] 1. (Geom.) The outer boundary of a body or figure, or the sum of all the sides. [1913 Webster] 2. An instrument for determining the extent and shape of the field of vision.… …   The Collaborative International Dictionary of English

  • Perimeter — (v. gr.), der Umfang, bes. von Figuren gebraucht, welche von geraden Linien begrenzt werden, im Gegensatz zu Peripherie (s.d.); daher Perimetrisch (Perimetral), dem Umfang nach …   Pierer's Universal-Lexikon

  • Perimeter — (griech.), ziemlich veraltetes Fremdwort für Umfang (s. d.); auch ein Instrument zur Messung des Gesichtsfeldes. Am häufigsten wird das von Aubert und Foerster angegebene P. benutzt. Näheres s. Tafel »Augenuntersuchung«, S. IV. Vgl. Ole Bull,… …   Meyers Großes Konversations-Lexikon

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  • perimeter — I noun ambit, border, borderline, boundary, bounds, brink, circuit, circumference, compass, configuration, confines, contour, curb, delineation, edge, enclosure, frontier, girdle, limit, limitations, margin, outline, outside edge, pale, periphery …   Law dictionary

  • perimeter — (n.) 1590s, line around a figure or surface, from L. perimetros, from Gk. perimetros circumference, from peri around (see PERI (Cf. peri )) + metron measure (see METER (Cf. meter) (n.2)). Military sense of …   Etymology dictionary

  • perimeter — *circumference, periphery, circuit, compass …   New Dictionary of Synonyms

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