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The edge length of a shape is the total length of all of the shape's edges. It can be considered to be the total extent of all of the shape's 1-subfacets in 1-dimensional space. The edge length of a polytelon is called its length. The edge length of a polygon is called its perimeter.

An edge length has dimensions of [length].

Edge Length Formulae

1-Dimensional

Shape Length Formula Variables
Line segment $ a $ a = edge length
Circle $ \pi d $ d = diameter of circle

2-Dimensional

Shape Length Formula Variables
Square $ 2\left(a+b\right) $ a, b = edge length
Disk $ \pi d $ d = diameter of disk
Regular P-Gon $ pa $ p = number of edges, a = edge length
Regular P/Q-Gon $ pa $ p = number of edges, a = edge length
Tube $ 2 \pi d $ d = diameter of disk

3-Dimensional

Shape Length Formula Variables
Cube $ 4\left(a + b + c\right) $ a, b, c = edge lengths
Cylinder $ 2\pi d $ d = diameter of disk
Tetrahedron $ 6a $ a = edge length
Octahedron $ 12a $ a = edge length
Dodecahedron $ 30a $ a = edge length
Icosahedron $ 30a $ a = edge length
Regular P,Q-hedron $ \frac{2pq}{4 - \left( p -2 \right) \left( q - 2\right)} a $ a = edge length

See Also

Space Antiderivatives
Vertex count · Edge length · Surface area · Surcell volume · Surteron bulk · Surpeton pentavolume · Surecton hexavolume · Surzetton heptavolume · Suryotton octavolume
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