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![Online Geometry Education, College, High School](../machu_picchu_h1_910.jpg)
Online Plane Geometry: Area of a Circle, Theorems and Problems, Index
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Circle Area: Table of Content
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![Circles](area-of-a-circle-theorems-problems-index.jpg) |
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![](../pythagoras/lunes_hippocrates_03_170.jpg) |
Lunes of Hippocrates
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![Problem 1439](../school-college/5/p1439-rectangle-diagonal-perpendicular-circle-ipad-apps-1.jpg) |
Geometry Problem 1439.
Rectangle, Diagonal, Perpendicular, Circles, Areas, Art, Poster, Typography, iPad Apps. |
![Geometry problem 1364](../school-college/4/p1364-square-inscribed-circle-chord-pieces-area-1.jpg) |
Geometry Problem 1364.
Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps. |
![Geometry problem 1362](../school-college/4/p1362-equilateral-triangle-inscribed-circle-lunula-area-1.jpg) |
Geometry Problem 1362.
Equilateral Triangle Inscribed in a Circle, Lunula, Ratio of Areas, Tangent, Sketch, iPad Apps. |
![Semicircle, Chord, Arc, Area](../school-college/p825-semicircle-triangle-area-diameter-chord-arc-midpoint-sector-1.jpg) |
Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. |
![Semicircle, Chord, Arc, Area](../school-college/p822-circle-triangle-area-diameter-chord-midpoint-sector-1.jpg) |
Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area. |
![Triangle, Incircle, Arbelos, Area](../school-college/p815-triangle-incircle-semicircle-tangent-arbelos-area-1.jpg) |
Geometry Problem
815.
Triangle, Incircle, Semicircles, Arbelos, Area. |
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Geometry Problem
812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers. |
![Parallelogram, Perpendicular, Semicircle, Area](../school-college/p808-parallelogram-perpendicular-right-triangle-semicircle-area-1.jpg) |
Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter. |
![Right Triangle Area, Incircle, Semicircle](../school-college/p807-right-triangle-area-semicircle-incircle-1.jpg) |
Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area. |
![Circle, Area, Tangent, Intersecting, Lune](../problem/p708_circle_area_lune_1.jpg) |
Geometry Problem
708.
Circle, Tangent, Intersecting, Lune, Area, Diameter. |
![Square, Circle, Area](../geometry/p697_square_circle_area_1.jpg) |
Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya. |
![Circle, Square, Area](../geometry/p693_circle_square_area_1.jpg) |
Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya. |
![Quatrefoil, Circle, Square, Area](../geometry/p692_quatrefoil_area_circl1.jpg) |
Geometry Problem 692.
Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya. |
![Archimedes Book of Lemmas Proposition 14](../problem/p654_archimedes_lemma_14_1.jpg) |
Geometry Problem 654.
Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area. |
![Archimedes Book of Lemmas Proposition 7](../problem/p646_archimedes_lemma_07_1.jpg) |
Geometry Problem 646.
Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area. |
![Archimedes Book of Lemmas Proposition 4](../problem/p643_archimedes_lemma_04_1.jpg) |
Geometry Problem 643.
Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area. |
![Circle Area, Tangent](../problem/p600_circle_area_1.jpg) |
Geometry Problem
600
Circle, Area, Tangent, Semicircle, Tangency Point. |
![Triangle area, Circle, Curvilinear triangle](../problem/p364_triangle_area_17.jpg) |
Proposed Problem 364.
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle,
Area. |
![Area of Triangle, Circles, Diameters](../problem/p360_area_triangle_17.jpg) |
Proposed Problem 360.
Area of a triangle, Curvilinear triangles, Circles, Diameters. |
![](../pythagoras/squaring_circle_01_170.jpg) |
Hippocrates and Squaring the Circle
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![](../pythagoras/lunes_hippocrates_04_170.jpg) |
Lunes of Hippocrates 4
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![](../pythagoras/lunes_hippocrates_03_170.jpg) |
Lunes of Hippocrates 3
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![](../pythagoras/lunes_hippocrates_02_170.jpg) |
Lunes of Hippocrates 2
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![](../pythagoras/lunes_hippocrates_01_170.jpg) |
Lunes of Hippocrates 1
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![](../pythagoras/right_area_circle_170.jpg) |
Pythagoras and Circle Area
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![Circle area problem. Elearning 100](../problem/p100_circle_area_elearning_17.jpg) |
Proposed Problem 100. Circle
Area, Archimedes' Book of Lemmas.
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![Circle area and Pythagoras](../problem/p099_circle_area_elearning_17.jpg) |
Proposed Problem 99: Circle Area, General Extension
to Pythagoras' Theorem.
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Post a comment | by Antonio Gutierrez Last
updated: Mar 9, 2022
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