A circle within an equilateral triangle within a circle. What fraction is shaded?
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The tumbler doll
Tag: triangle
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The King’s chamber
A pyramid with a square base and sides that are equilateral triangles contains a cube. If the cube is taking maximum space as shown, what is the fraction of its volume to the pyramid’s volume?
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The sundial statement
A triangle is formed by a circle radius and an external point. It is divided by the shown chord. What’s the proportion of the angles α and β?
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The folded triangle
An equilateral triangle is folded with its left side at right angles with the base. What fraction of the total triangle is shaded?
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The green kimono
An equilateral triangle and three squares. What’s the angle?
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The circus tent
A regular octagon is coloured as shown. What fraction of its area is red?
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The pyramid perspective
Two congruent pyramids placed at different distances from the observer appear as equilateral triangles in a square frame. If the closest one is at 100 meter, how far is the distant pyramid?
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The square peg
A square is fitted into an equilateral triangle as shown. What fraction is shaded?
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The Pacman principle
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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The blue diamond
Two isosceles triangles are placed as shown. What is the proportion of the line segments a and b?