Pentagon
![]() In geometry, a pentagon is any five-sided polygon. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
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~ ~ ~ ~ ~ ~ ~ ~ ~ ~ However, the term is commonly used to mean a regular pentagon, where all sides are equal and all angles are equal (to 108?). Its Schl?fli symbol is {5}. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ The area of a regular pentagon with side length a is given by ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ A = rac{5a^2}{4}cot rac{pi}{5} = rac {a^2}{4} sqrt{25+10sqrt{5}} simeq 1.72048 a^2 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ A pentagram can be formed from a regular pentagon either by extending its sides or by drawing its diagonals, and the resulting figure contains various lengths related by the golden ratio, φ = (1+√5)/2. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Geometry: Geometry (Greek Γεωμετρια, geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. It was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric c... Polygon: :For other use please see Polygon (disambiguation)... Pentagram: :This article is about the geometric design. For other meanings, see Pentagram (disambiguation)... Pentagon related Images and Photos (experimental) | ~ Table of Content ~
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~ Related Subjects ~Golden ratio (1) - Areas of mathematics (1) - Algebraic geometry (1) - Geometry (1) - Polygon (1) - Pentagram (1) -~ Community ~
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