Difference between revisions of "Square (geometry)"

Revision as of 14:09, 11 August 2006

A square is quadrilateral in which all sides have equal length and all angles are right angles.

Equivalently, the squares are the regular quadrilaterals.

The area of a square can be found by squaring the square's side length: the area $A$ of a square with side length $s$ is $A = s^2$ .

The perimeter $P$ of a square can be found by multiplying the square's side length by four - $P = 4s$ .

The length of either diagonal of a square can be obtained by the Pythagorean theorem. $D=\sqrt{s^2+s^2}=s\sqrt{2}$

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-A '''square''' is a four-side, geometric figure in which all sides are equal and all [[angle | angles]] are [[right angle | right angles]].
+A '''square''' is [[quadrilateral]] in which all [[edge|sides]] have equal length and all [[angle | angles]] are [[right angle]]s.
+Equivalently, the squares are the [[regular polygon|regular]] quadrilaterals.
 == Introductory ==
-A square is a a special [[quadrilateral]] in that it is regular.
 === Area ===
-The [[area]] of a square can be found by squaring the square's side length - <math> A = s^2 </math>.
+The [[area]] of a square can be found by squaring the square's side length: the area <math>A</math> of a square with side length <math>s</math> is <math> A = s^2 </math>.
 === Perimeter ===
-The [[perimeter]] of a square can be found by multiplying the square's side length by four - <math> P = 4s </math>.
+The [[perimeter]] <math>P</math> of a square can be found by multiplying the square's side length by four - <math> P = 4s </math>.
 === Diagonal ===
-The [[Diagonal]] of a square is obtained by the [[Pythagorean Theorem | Pythagorean theorem]]. <math>D=\sqrt{s^2+s^2}=s\sqrt{2}</math>
+The length of either [[diagonal]] of a square can be obtained by the [[Pythagorean Theorem | Pythagorean theorem]]. <math>D=\sqrt{s^2+s^2}=s\sqrt{2}</math>