Difference between revisions of "Perimeter"

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In [[Plane_geometry|plane geometry]], the '''perimeter''' of a [[Closed_(topology)|closed]], [[Bounded|bounded]], geometric shape with [[Nonempty|nonempty]] [[Interior|interior]] is equal to the [[Length|length]] of the object's [[Boundary|boundary]]. Thus, familiar geometric shapes such as [[Circle|circles]] and [[Polygon|polygons]] have a perimeter. [[Line_segment|Line segments]] and [[Sierpinski_gasket|Sierpinski gaskets]] do not have a perimeter since they have an empty interior (all the other properties are satisfied).
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In [[plane geometry]], the '''perimeter''' of a [[Closed (topology)|closed]], [[bounded]], geometric shape with [[nonempty]] [[interior]] is equal to the [[length]] of the object's [[boundary]]. Thus, familiar geometric shapes such as [[circle]]s and [[polygon]]s have a perimeter. [[Line segment]]s and [[Sierpinski gasket]]s 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]].
 
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==
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==See also==
 
* [[Home security]] - as in Perimeter security
 
* [[Home security]] - as in Perimeter security
  
[[Category : Geometry]]
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[[Category:Geometry]]
[[Category : Home Security]]
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[[Category:Home Security]]
[[Category : Self-defense]]
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[[Category:Self-defense]]
[[Category : Survivalism]]
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[[Category:Survivalism]]
[[Category : Military Glossary]]
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[[Category:Military Glossary]]

Revision as of 03:49, June 27, 2016

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