Difference between revisions of "Square (geometry)"

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A '''square''' is a four-side geometric figure in which all sides are equal and all [[angle | angles]] are [[right angle | right angles]].
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A '''square''' is [[quadrilateral]] in which all [[edge|sides]] have equal length and all [[angle | angles]] are [[right angle]]s.
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Equivalently, the squares are the [[regular polygon|regular]] quadrilaterals.
  
  
 
== Introductory ==
 
== Introductory ==
A square is a a special [[quadrilateral]] in that it is regular.
 
 
 
=== Area ===
 
=== Area ===
The [[area]] of a square can be found by squaring the square's side length - <math> A = s^2 </math>.
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The [[area]] of a square can be found by squaring the square's side length: the area <math>A</math> of a square with side length <math>s</math> is <math> A = s^2 </math>.
  
 
=== Perimeter ===
 
=== Perimeter ===
The [[perimeter]] of square can be found by multiplying the square's side length by four - <math> P = 4s </math>.
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The [[perimeter]] <math>P</math> of a square can be found by multiplying the square's side length by four - <math> P = 4s </math>.
  
 
=== Diagonal ===
 
=== Diagonal ===
The [[Diagonal]] of a square is obtained by the Pythagorean theorem. <math>D=\sqrt{s^2+s^2}=s\sqrt{2}</math>
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The length of either [[diagonal]] of a square can be obtained by the [[Pythagorean Theorem | Pythagorean theorem]]. <math>D=\sqrt{s^2+s^2}=s\sqrt{2}</math>
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== See Also ==
 
== See Also ==
* [[Quadrilateral]]
 
 
* [[Unit Square]]
 
* [[Unit Square]]
* [[Cube]]
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* [[Cube (geometry) | Cube]]
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[[Category:Geometry]]
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[[Category:Definition]]

Revision as of 16:55, 7 October 2007

A square is quadrilateral in which all sides have equal length and all angles are right angles.

Equivalently, the squares are the regular quadrilaterals.


Introductory

Area

The area of a square can be found by squaring the square's side length: the area $A$ of a square with side length $s$ is $A = s^2$.

Perimeter

The perimeter $P$ of a square can be found by multiplying the square's side length by four - $P = 4s$.

Diagonal

The length of either diagonal of a square can be obtained by the Pythagorean theorem. $D=\sqrt{s^2+s^2}=s\sqrt{2}$


See Also