Difference between revisions of "Perimeter"

m
Line 5: Line 5:
 
== Formulas ==
 
== Formulas ==
  
* [[Square (geometry) | Square]]: <math>4s</math>, where <math>s</math> is the side length.
+
* [[Rectangle]]: <math>2(l+w)</math>, where <math>l</math> is the length and <math>w</math> is the width.
  
* [[Rectangle]]: <math>2(l+w)</math>, where <math>l</math> is the length and <math>w</math> is the width.
+
* [[Square (geometry) | Square]]: <math>4s</math>, where <math>s</math> is the side length. <follows from rectangle>
  
* Circle - <math>2\pi r</math>, where <math>r</math> is the [[radius]].
+
* [[Circle]] - <math>2\pi r</math>, where <math>r</math> is the [[radius]].
  
 
* [[Regular polygon]] with <math>n</math> sides: <math>ns</math>, where <math>s</math> is the side length.
 
* [[Regular polygon]] with <math>n</math> sides: <math>ns</math>, where <math>s</math> is the side length.
 +
 +
* [[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.
  
 
== Introductory Example Problems ==
 
== Introductory Example Problems ==
 
* [[2006_AMC_10B_Problems/Problem_6 | 2006 AMC 10B Problem 6]]
 
* [[2006_AMC_10B_Problems/Problem_6 | 2006 AMC 10B Problem 6]]

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>
  • 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