Difference between revisions of "Perimeter"
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(added more precise definition than "2-dimensional object" to exclude certain geometric objects.) |
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| − | In plane geometry, the '''perimeter''' of a | + | 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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| + | 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]]. | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 23:05, January 14, 2008
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.