pentagon

Also known as 5-gon

In geometry, a pentagon () is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

AI overview

A pentagon is a five-sided shape with five angles. The interior angles of a pentagon always add up to 540 degrees, which is a useful property when working with geometry.

AI-generated from the Wikipedia summary — may contain errors.

Key facts

Polygon.name: Pentagon
Polygon.image: 5-gon cyclic 01.svg
Polygon.caption: A cyclic pentagon
Polygon.edges: 5

via Wikipedia infobox

Wikidata facts

Followed by: hexagon
Follows: quadrilateral
Image: П'ятикутник.png
Has parts of class: vertex

Show 6 more facts

Commons category: Pentagons
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
maintained by WikiProject: WikiProject Mathematics
has facet polytope: vertex
has vertex figure: line segment
Commons gallery: Pentagon

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Encyclopedic overview

26 sections

Contents

Regular pentagons
Derivation of the area formula
Inradius
Chords from the circumscribed circle to the vertices
Point in plane
Geometrical constructions
Richmond's method
Carlyle circles
Using trigonometry
Euclid's method
Physical construction methods
Symmetry
Regular pentagram
Equilateral pentagons
Cyclic pentagons
General convex pentagons
Pentagons in tiling
Pentagons in polyhedra
Pentagons in nature
Plants
Animals
Minerals
Other examples
See also
In-line notes and references
External links

In geometry, a pentagon () is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.

Excerpted from Wikipedia’s “pentagon” article, available under the CC BY-SA 4.0 licence.

pentagon

Key facts

Wikidata facts

Encyclopedic overview

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