Square
Pronunciation: /skwɛər/ ?
A square is a foursided
polygon
whose sides intersect at
right angles.^{[1][2]}
All four sides of a square are the same length.

Figure 1: Examples of squares. 

Figure 2: Counter examples of squares. 
Properties of Squares
 A square is also a rectangle.
 Perimeter of a square:
where is the length of one side.
 Area of a square:
where is the length of one side.
 Center of a square:
where (x_{1}, y_{1}) is coordinate of the upper left corner of the square and (x_{2}, y_{2}) is the lower right corner of the square.
 Equation of a circle inscribed in a square:
where (x_{1}, y_{1}) is coordinate of the upper left corner of the square, (x_{2}, y_{2}) is the lower right corner of the square and s is the length of a side.
References
 Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pp 27, 3132. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 20091231). http://www.archive.org/stream/elementsofconstr00noetrich#page/27/mode/1up.
 square. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 20110108). http://wordnetweb.princeton.edu/perl/webwn?s=square&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
Cite this article as:
Square. 20091221. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/square.html.
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Revision History
20091221: Added "References" (
McAdams, David.)
20080915: Added 'More Information'. Corrected vocabulary link for right angle (
McAdams, David.)
20080320: Corrected formula for the perimeter of a square (
McAdams, David.)
20070730: Initial version (
McAdams, David.)