Difference between revisions of "Hexagon"

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A '''hexagon''' is a [[polygon]] with six edges and six vertices. The sum of the internal [[angle]]s of a [[Regular polygon | regular]] hexagon is <math>720^{\circ}</math>, and each is <math>120^{\circ}</math>.
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A '''hexagon''' is a [[polygon]] with six [[edge]]s and six [[vertex | vertices]].  
  
The area of a [[Regular polygon | regular]] hexagon is <math>\frac{3s^2\sqrt{3}}{2}</math>, where <math>s</math> is the side length.
 
  
The maximum [[diameter]] a hexagon can have is twice its side length, and the minimum is <math>s\sqrt{3}</math>.
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==Regular hexagons==
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{{main|Regular hexagon}}
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Each internal [[angle]] of a [[Regular polygon | regular]] hexagon measures 120 [[degree (geometry) | degrees]], so the sum of the angles is <math>720^{\circ}</math>.
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A regular hexagon can be divided into 6 equilateral triangles where the apothem is the height of these triangles.
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[[Area]]: <math>\frac{3s^2\sqrt{3}}{2}</math>  Where <math>s</math> is the side length of the hexagon.
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[[Apothem]], or [[inradius]]: <math>\dfrac{s\sqrt{3}}{2}</math>
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[[Circumradius]]:  <math>s</math>
  
 
==See Also==
 
==See Also==
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[[Category:Definition]]
 
[[Category:Definition]]
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[[Category:Geometry]]

Latest revision as of 07:29, 9 October 2024

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A hexagon is a polygon with six edges and six vertices.


Regular hexagons

Main article: Regular hexagon

Each internal angle of a regular hexagon measures 120 degrees, so the sum of the angles is $720^{\circ}$.

A regular hexagon can be divided into 6 equilateral triangles where the apothem is the height of these triangles.

Area: $\frac{3s^2\sqrt{3}}{2}$ Where $s$ is the side length of the hexagon.

Apothem, or inradius: $\dfrac{s\sqrt{3}}{2}$

Circumradius: $s$

See Also