Square

Pronunciation: /skwɛər/ Explain

A square is a four-sided polygon whose sides intersect at right angles.[1][2] All four sides of a square are the same length.

Examples of squares
Figure 1: Examples of squares.

Counter examples of squares
Figure 2: Counter examples of 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 = s^2 where s is the length of one side.
  • Center of a square:
    ((x_2-x_1)/2,(y_2-y_1)/2)
    (x - ( (x2 - x1) / 2 ) )<sup>2</sup> + (y - ( (y2 - y1) / 2 ) )<sup>2</sup> = (s / 2)<sup>2</sup></var> 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:
    (x - ( (x2 - x1) / 2 ) )<sup>2</sup> + (y - ( (y2 - y1) / 2 ) )<sup>2</sup> = (s / 2)<sup>2</sup></var>
    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. 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. 12/10/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/square.html.

Image Credits

Revision History

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.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License