# Square

Pronunciation: /skwɛər/ Explain

A square is a four-sided polygon whose sides intersect at right angles. 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.
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

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.

### 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.)