Art of Problem Solving

Square (geometry): Difference between revisions

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=== Diagonal ===
=== Diagonal ===
The [[Diagonal]] of a square is obtained by the Pythagorean theorem. <math>D=\sqrt{s^2+s^2}=s\sqrt{2}</math>
The [[Diagonal]] of a square is obtained by the Pythagorean theorem. <math>D=\sqrt{s^2+s^2}=s\sqrt{2}</math>


== See Also ==
== See Also ==
* [[Quadrilateral]]
* [[Unit Square]]
* [[Unit Square]]
* [[Cube]]
* [[Cube]]

Revision as of 22:34, 19 June 2006

A square is a four-side geometric figure in which all sides are equal and all angles are right angles.


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 - $A = s^2$.

Perimeter

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

Diagonal

The Diagonal of a square is obtained by the Pythagorean theorem. $D=\sqrt{s^2+s^2}=s\sqrt{2}$


See Also