Difference between revisions of "Perimeter"

 
 
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== Definition ==
 
== Definition ==
  
The '''perimeter''' of a geometric figure is the distance around the edge of the figure. '''Perimeter''' is often denoted by P. The '''perimeter''' of a circle is called its circumference.
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The '''perimeter''' of a geometric figure is the distance around the outside of the figure. Perimeter is often denoted by P. The perimeter of a [[circle]] is called its [[circumference]].
  
 
== Formulas ==
 
== Formulas ==
  
* Square - 4s, where s is the side length
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* [[Rectangle]]: <math>2(l+w)</math>, where <math>l</math> is the length and <math>w</math> is the width.
  
* Rectangle - 2(l+w), where l is the length and w is the width
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* [[Square (geometry) | Square]]: <math>4s</math>, where <math>s</math> is the side length. <follows from rectangle>
  
* Circle - <math>2\pi r</math>, where r is the radius
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* Circle - <math>2\pi r</math>, where <math>r</math> is the [[radius]].
  
* Regular geometric figure with n sides - ns, where s is the length of the side
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* [[Regular polygon]] with <math>n</math> sides: <math>ns</math>, where <math>s</math> is the side length.
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* [[Polygon]] with <math>q</math> sides: <math>\sum_{z=1}^{q} a_z</math>, where <math>a_i</math> are the lengths of the sides of the polygon.
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== Introductory Example Problems ==
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* [[2006_AMC_10B_Problems/Problem_6 | 2006 AMC 10B Problem 6]]
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[[Category:Geometry]]

Latest revision as of 10:25, 6 November 2007

Definition

The perimeter of a geometric figure is the distance around the outside of the figure. Perimeter is often denoted by P. The perimeter of a circle is called its circumference.

Formulas

  • Rectangle: $2(l+w)$, where $l$ is the length and $w$ is the width.
  • Square: $4s$, where $s$ is the side length. <follows from rectangle>
  • Circle - $2\pi r$, where $r$ is the radius.
  • Polygon with $q$ sides: $\sum_{z=1}^{q} a_z$, where $a_i$ are the lengths of the sides of the polygon.

Introductory Example Problems