Difference between revisions of "Perimeter"
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== Definition == | == Definition == | ||
| − | The '''perimeter''' of a geometric figure is the distance around the | + | 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 == | ||
| − | * | + | * [[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 | + | * [[Circle]]: <math>2\pi r</math>, where <math>r</math> is the [[radius]]. |
| − | * Regular | + | * [[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]] | ||
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| + | [[Category:Geometry]] | ||
Latest revision as of 17:57, 2 September 2024
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:
, where 
is the length and 
is the width.
, where 
is the length and 
is the width.- Square:
, where 
is the side length. <follows from rectangle>
, where 
is the side length. <follows from rectangle>
, where 
is the - Regular polygon with
sides: 
, where is the side length.
sides: 
, where - Polygon with
sides: 
, where 
are the lengths of the sides of the polygon.
sides: 
, where 
are the lengths of the sides of the polygon.
