Zentangle - sacred geometry. Here superimposed upon one another are; club, heart, spade, and clover symbols which are found in an ordinary deck of playing cards. All 4 symbol designs came from out of 11 inscribed circles as shown here.

Here superimposed upon one another are; club, heart, spade, and clover symbols which are found in an ordinary deck of playing cards. All 4 symbol designs came from out of 11 inscribed circles as shown here.

Geometry Problem 957: Equilateral Triangle, Inscribed Circle, Incircle, Circumscribed Circle, Circumcircle, Area, Circular Segment. School, College, Math Education.

Geometry Problem 957: Equilateral Triangle, Inscribed Circle, Incircle, Circumscribed Circle, Circumcircle, Area, Circular Segment. School, College, Math Education.

Inscribed Circle And Square Puzzle – Mind Your Decisions

Inscribed Circle And Square Puzzle – Mind Your Decisions

Geometry Problem 1184: Right Triangle, Square, Inscribed Circle, Tangent, Concurrent Lines

Geometry Problem Right Triangle, Square, Inscribed Circle, Tangent, Concurrent Lines

Geometry Problem 1097 Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area

Geometry Problem 1097 Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area

Inscribed Circles and Hexagons | 7 Hard Geometry Problems

Inscribed Circles and Hexagons

Geometry problems involving circles inscribed in regular hexagons and regular hexagons inscribed in circles can be solved the same way as problems involving circles and equilateral triangles. The key geometric properties are that a regular hexagon.

Geometry Problem 1081 Equilateral Triangle, Inscribed Circle, Inradius, Tangent Circles, Radius, Tangent Line, Sangaku Japanese Problem

Geometry Problem 1081 Equilateral Triangle, Inscribed Circle, Inradius, Tangent Circles, Radius, Tangent Line, Sangaku Japanese Problem

The figure below is an Arbelos, which means shoemaker's knife in Greek.  The grey circle is the Inscribed Circle of the Arbelos. Drag the blue points. The red circles suggest a way to construct the inscribed circle. How should the inscribed circle be constructed?

The Arbelos The Inscribed Circle

Problem 1103: Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations

Problem 1103: Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations

Geometry Problem 1060 Triangle, Incircle, Incenter, Inscribed circle, Tangent, Angle

Geometry Problem 1060 Triangle, Incircle, Incenter, Inscribed circle, Tangent, Angle

Geometry Problem 1168 Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent

Geometry Problem 1168 Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent

Geometry Problem 1314 Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence

Geometry Problem 1314 Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence

Geometry Problem 943: Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations. Level: High School, College, Mathematics Education.

Geometry Problem 943: Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations. Level: High School, College, Mathematics Education.

Choose any number of points on a circle and connect them to form a polygon.  This polygon can be carved into triangles in any number of ways by connecting its vertices.  No matter how this is done, the sum of the radii of the triangles’ inscribed circles is constant.

Choose any number of points on a circle and connect them to form a polygon. This polygon can be carved into triangles in any number of ways by connecting its vertices. No matter how this is done, the sum of the radii of the triangles’ inscribed circles is constant.

Math Geometry Problem 76. Area of a Circle, Square, Circular Sector, Lune. Level: High School, College, Mathematics Education

Math Geometry Problem 76. Area of a Circle, Square, Circular Sector, Lune. Level: High School, College, Mathematics Education

Geometry Problem 1104, Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius, Tangent

Geometry Problem 1104, Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius, Tangent

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