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In plane geometry, the perimeter of a closed, bounded, geometric shape with nonempty interior is equal to the length of the object's boundary. Thus, familiar geometric shapes such as circles and polygons have a perimeter. Line segments and Sierpinski gaskets do not have a perimeter since they have an empty interior (all the other properties are satisfied).

The perimeter of a polygon is the sum of the lengths of its sides. The perimeter of a circle is called a circumference, and is the circle's diameter multiplied by pi.

See also