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Semiperimeter

In geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears frequently enough in formulas for triangles and other figures that it is given a separate name. When the semiperimeter occurs as part of a formula, it is typically denoted by the letter s.

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Formulas involving the semiperimeter

InradiusHeron's formulaCircumradiusLaw of sinesLaw of cotangents
18 related topics

Properties

ExcircleSplittersConcurNagel pointCleaver
12 related topics

Circles

CircleCircumferenceRadiusPi
4 related topics

Overview

GeometryPolygonPerimeterTriangles
4 related topics

Topics to explore

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Overview

Properties

Formulas involving the semiperimeter

Circles

Advanced semantic analysis

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Map overview Semantic statistics

Semiperimeter

Nodes43
Edges42
Triples19
Avg. degree1.95
Density0.046512
Components1

How this topic connects Entity context

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Semiperimeter

Top relations

related to Properties · 7
Semiperimeter → AA, BB, CC, If, In, Nagel, The
related to External links · 3
Semiperimeter → Eric, MathWorld, Weisstein
related to For quadrilaterals · 3
Semiperimeter → One, Pitot's, The
related to For triangles · 2
Semiperimeter → Heron's, The
is a · 1
Semiperimeter → sum of the inradius and twice the circumradius
related to Circles · 1
Semiperimeter → The
related to Motivation: triangles · 1
Semiperimeter → The
related to Regular polygons · 1
Semiperimeter → The

Important terminology Word statistics

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Important terminology

triangle perimeter inradius also side area formula triangles formulas opposite triangle's length sides excircle circle radius circumradius polygon lengths two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Semiperimeteris asum of the inradius and twice the circumradius0.90text
Semiperimeterrelated to CirclesThe0.60section
Semiperimeterrelated to External linksWeisstein0.60section
Semiperimeterrelated to External linksEric0.60section
Semiperimeterrelated to External linksMathWorld0.60section
Semiperimeterrelated to For quadrilateralsThe0.60section
Semiperimeterrelated to For quadrilateralsOne0.60section
Semiperimeterrelated to For quadrilateralsPitot's0.60section
Semiperimeterrelated to For trianglesThe0.60section
Semiperimeterrelated to For trianglesHeron's0.60section
Semiperimeterrelated to Motivation: trianglesThe0.60section
Semiperimeterrelated to PropertiesIn0.60section

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    Min side: 3
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