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Circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre is called the diameter. A circle bounds a region of the plane…

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Explore the main themes, entities and connections around Circle. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Key facts & relationships

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Area
πR2
Perimeter
C = 2πR
Symmetry group
O(2)
Type
Conic section

Topics to explore

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Overview

Terminology

Etymology

History

Analytic results

Properties

Compass and straightedge constructions

Circle of Apollonius

Inscription in or circumscription about other figures

Limiting case of other figures

Locus of constant sum

Squaring the circle

Generalisations

Advanced semantic analysis

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Map overview Semantic statistics

Circle

Nodes183
Edges182
Triples217
Avg. degree1.99
Density0.010929
Components1

How this topic connects Entity context

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Circle

Top relations

related to Terminology · 22
Circle → All, Annulus, Arc, Centre, Chord, Circumference, Diameter, Disc, In, It, Lens, Radius, Secant, Sector, Segment, Semicircle, Sometimes, Specifying, Tangent, The
related to Symbolism and religious use · 17
Circle → Antiquity, Assyrians, China, Dharma, Egyptians, From, Greece, However, In, Indus Valley, Magic, Rome, Such, The, Western, While, Yellow River
related to Theorems · 15
Circle → AB, AC, AD, AE, AF2, BC, BOC, CAB, CD, DE, DOE, EB, If, That, The
related to Circle of Apollonius · 14
Circle → AB, AC, AP, APB, Apollonius, BC, BP, By, First, Let, PC, Perga, That, The
related to External links · 13
Circle → Circles, Click, Cut-the-Knot, EMS Press, Encyclopedia, Eric, Interactive Java, Interactive Standard Form Equation, Mathematics, MathWorld, Munching, PlanetMath, Weisstein
is a · 12
Circle → basis for the wheel, ellipse with an eccentricity of zero, one-dimensional hypersphere, ordinary circle with an orientation represented by a binary value attached to it, plane curve enclosing the maximum area for a given arc length, plane figure bounded by one curved line, problem, shape consisting of all points in a plane that are at a given distance from a given point, shape with the largest area for a given length of perimeter, simplest example of this type of figure, special case of a supercircle in which n, tangent to the circle.A line drawn perpendicular to a tangent through the point of contact with a circle passes through the centre of the circle.Two tangents can always be drawn…
see also · 11
Circle → Affine, Geometrical, How, Mathematical, Number, Polygon, Process, Separation, Set, Study, Transformation
related to Generalised circles · 10
Circle → AB, AC, AP, Apollonius, BC, BP, If, In, It, Thus
related to In other p-norms · 9
Circle → Cartesian, Defining, Euclidean, In, In Euclidean, Taxicab, The, Thus, While
related to Properties · 9
Circle → All, In Cartesian, Isoperimetric, Its, Riemannian, See, The, Thought, Through

Important terminology Word statistics

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Important terminology

centre radius displaystyle line points chord two point diameter length angle equation segment tangent one circles given perpendicular equal distance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
CircleAreaπR21.00infobox
CirclePerimeterC = 2πR1.00infobox
CircleSymmetry groupO(2)1.00infobox
CircleTypeConic section1.00infobox
Circleis ashape consisting of all points in a plane that are at a given distance from a given point0.90text
Circleis abasis for the wheel0.90text
Circleis aplane figure bounded by one curved line0.90text
Circleis aplane curve enclosing the maximum area for a given arc length0.90text
Circleis ashape with the largest area for a given length of perimeter0.90text
Circleis atangent to the circle.A line drawn perpendicular to a tangent through the point of contact with a circle passes through the centre of the circle.Two tangents can always be drawn…0.90text
Circleis aellipse with an eccentricity of zero0.90text
Circleis aspecial case of a supercircle in which n0.90text
Circleis asimplest example of this type of figure0.90text
Circleis aproblem0.90text
Circleis aone-dimensional hypersphere0.90text
Circleis aordinary circle with an orientation represented by a binary value attached to it0.90text

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