Square

Pronunciation: /skwɛər/ Explain

A square is a four-sided polygon whose sides intersect at right angles.^[2] All four sides of a square are the same length.

Figure 1: Squares.

Figure 2: Things that are not squares.

Properties of Squares

• A square is also a rectangle.
• Perimeter of a square: P = 4s where s is the length of one side.
• Area of a square: A = s² where s is the length of one side.
• Center of a square:
  
  where (x₁, y₁) is coordinate of the upper left corner of the square and (x₂, y₂) is the lower right corner of the square.
• Equation of a circle inscribed in a square:
  
  where (x₁, y₁) is coordinate of the upper left corner of the square, (x₂, y₂) is the lower right corner of the square and s is the length of a side.

References

1. McAdams, David E.. All Math Words Dictionary, square. 2nd Classroom edition 20150108-4799968. pg 169. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented. pp 27, 31-32. Translated by Noetling, William A.M, C.E.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/13/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/27/mode/1up. Buy the book

Cite this article as:

McAdams, David E. Square. 5/7/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/square.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

5/7/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/10/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
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.)