Perimeter - Formulae

Formulae

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.

Parallelogram: 2(w+h)

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.

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