Square

Pronunciation: /skwɛər/ ?

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)
    ((x2-x1)/2,(y2-y1)/2) 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.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-31). http://www.archive.org/stream/elementsofconstr00noetrich#page/27/mode/1up.
  2. square. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). 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. 2009-12-21. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/square.html.

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Revision History


2009-12-21: Added "References" (McAdams, David.)
2008-09-15: Added 'More Information'. Corrected vocabulary link for right angle (McAdams, David.)
2008-03-20: Corrected formula for the perimeter of a square (McAdams, David.)
2007-07-30: Initial version (McAdams, David.)

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