In a circle, two congruent chords are connected in a point. A line segment is drawn through the circle center as shown, forming two angles. What is the proportion α : β?

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geometry puzzles

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- Post author By Rik D. Tangerman
- Post date November 20, 2020
- No Comments on The Pacman principle

- Tags angle, circle, proportion, triangle

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- Post author By Rik D. Tangerman
- Post date November 17, 2020
- No Comments on The askew envelope

In a square, an interior point is drawn with an angle to the top vertices of 120°. What’s the angle between the chords formed by the two arcs centered in these vertices?

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- Post author By Rik D. Tangerman
- Post date November 9, 2020
- No Comments on The diagonal dilemma

On two faces of a cube a diagonal is drawn that meet in the same vertex. What’s the angle between them?

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- Post author By Rik D. Tangerman
- Post date November 5, 2020
- No Comments on The blockhat

Four congruent rectangles are placed in a hat-shaped configuration. What’s the angle between the lines connecting the opposite corners?

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- Post author By Rik D. Tangerman
- Post date November 3, 2020
- 1 Comment on The snowman mansion

A square and a half square are stacked in order to form a house-shaped quadrilateral. Inside two circles are closely packed. What’s the angle between the tangency points?

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- Post author By Rik D. Tangerman
- Post date November 2, 2020
- No Comments on Balancing balls

Two touching circles are placed on top of a right triangle. What’s the angle between the chords connecting the tangency points?