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pentagon

File:5-gon_cyclic_01.svg · Wikimedia Commons · See Wikimedia Commons

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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

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Pentagons
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Pentagon
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~17 min read

Article

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.

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