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perimeter : ウィキペディア英語版
perimeter

A perimeter is a path that surrounds a two-dimensional shape. 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 circle or ellipse is called its circumference.
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 ==
\right) || 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 + \cdots + a_n = \sum_^n a_i || where a_ is the length of the i-th (1st, 2nd, 3rd ... ''n''th) side of an ''n''-sided polygon.
|}
The perimeter is the distance around a shape. Perimeters for more general shapes can be calculated as any path with \int_0^L \mathrms 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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「perimeter」の詳細全文を読む



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