Difference between revisions of "Square (geometry)"
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− | + | A '''square''' is a [[quadrilateral]] in which all [[edge|sides]] have equal length and all [[angle | angles]] are [[right angle]]s. | |
− | A square is a | ||
− | == Area == | + | <asy> |
− | The [[area]] of a square can be found by squaring the square's side length | + | import markers; |
+ | pair A, B, C, D; | ||
+ | |||
+ | A = (-1, 1); | ||
+ | B = (1, 1); | ||
+ | C = (1, -1); | ||
+ | D = (-1, -1); | ||
+ | |||
+ | draw(A--B--C--D--cycle); | ||
+ | draw(rightanglemark(A, B, C)); | ||
+ | draw(rightanglemark(B, C, D)); | ||
+ | draw(rightanglemark(C, D, A)); | ||
+ | draw(rightanglemark(D, A, B)); | ||
+ | draw(A--B--C--D--cycle, StickIntervalMarker(4)); | ||
+ | </asy> | ||
+ | |||
+ | Equivalently, all squares are the [[regular polygon|regular]] quadrilaterals. | ||
+ | |||
+ | |||
+ | == Introductory == | ||
+ | === Area === | ||
+ | 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]] <math>P</math> of a square can be found by multiplying the square's side length by four - <math> P = 4s </math>. | ||
+ | |||
+ | === Diagonal === | ||
+ | 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> | ||
− | |||
− | |||
== See Also == | == See Also == | ||
− | [[ | + | * [[Unit Square]] |
− | [[ | + | * [[Cube (geometry) | Cube]] |
− | [[ | + | |
+ | [[Category:Geometry]] | ||
+ | |||
+ | [[Category:Definition]] | ||
+ | |||
+ | {{stub}} |
Latest revision as of 18:31, 3 September 2024
A square is a quadrilateral in which all sides have equal length and all angles are right angles.
Equivalently, all squares are the regular quadrilaterals.
Introductory
Area
The area of a square can be found by squaring the square's side length: the area of a square with side length
is
.
Perimeter
The perimeter of a square can be found by multiplying the square's side length by four -
.
Diagonal
The length of either diagonal of a square can be obtained by the Pythagorean theorem.
See Also
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