

Online Plane Geometry: Area of a Circle, Theorems and Problems, Index

Circle Area: Table of Content




Lunes of Hippocrates


Geometry Problem 1364.
Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps. 

Geometry Problem 1362.
Equilateral Triangle Inscribed in a Circle, Lunula, Ratio of Areas, Tangent, Sketch, iPad Apps. 

Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. 

Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. 

Geometry Problem
815.
Triangle, Incircle, Semicircles, Arbelos, Area. 

Geometry Problem
812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers. 

Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter. 

Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area. 

Geometry Problem
708.
Circle, Tangent, Intersecting, Lune, Area, Diameter. 

Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya. 

Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya. 

Geometry Problem 692.
Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya. 

Geometry Problem 654.
Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area. 

Geometry Problem 646.
Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area. 

Geometry Problem 643.
Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area. 

Geometry Problem
600
Circle, Area, Tangent, Semicircle, Tangency Point. 

Proposed Problem 364.
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle,
Area. 

Proposed Problem 360.
Area of a triangle, Curvilinear triangles, Circles, Diameters. 

Hippocrates and Squaring the Circle


Lunes of Hippocrates 4


Lunes of Hippocrates 3


Lunes of Hippocrates 2


Lunes of Hippocrates 1


Pythagoras and Circle Area


Proposed Problem 100. Circle
Area, Archimedes' Book of Lemmas.


Proposed Problem 99: Circle Area, General Extension
to Pythagoras' Theorem.

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