Square
Pronunciation: /skwɛər/ Explain
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.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/31/2009. http://www.archive.org/stream/elementsofconstr00noetrich#page/27/mode/1up. Buy the book
Cite this article as:
McAdams, David E. Square. 5/5/2011. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/square.html.
Image Credits
Revision History
12/21/2009: Added "References". (
McAdams, David E.)
9/15/2008: Added 'More Information'. Corrected vocabulary link for right angle (
McAdams, David E.)
3/20/2008: Corrected formula for the perimeter of a square. (
McAdams, David E.)
7/30/2007: Initial version. (
McAdams, David E.)