The term perimeter refers either to the curve constituting the boundary of a lamina or else to the length of this boundary.

The perimeter of a circle is called the circumference, although that term is used by some authors to refer to the perimeter of an arbitrary curved geometric figure.

The perimeter of a region is implemented in the Wolfram Language as Perimeter[reg].

The perimeters of some common laminae are summarized in the table below. In the table, is the eccentricity of an ellipse, is its semimajor axis, and is a complete elliptic integral of the second kind.

See also

Arc Length, Circumference, Cluster Perimeter, Diameter, Honeycomb Conjecture, Lamina, Length, Plane Curve, Radius, Semiperimeter Explore this topic in the MathWorld classroom

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Cite this as:

Weisstein, Eric W. "Perimeter." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Perimeter.html

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