A regular hexagon and a square share a vertex. What’s the angle α?
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A square deal
Tag: hexagon
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The seventh bell
A regular hexagon shares a vertex with an equilateral triangle of area 7. What is the area of the hexagon?
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Rising bread
A regular hexagon with a diagonal and a circular arc centred in a side midpoint. What fraction is yellow?
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The double bottom
A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?
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Going halfway
A regular hexagon contains a diagonal, a green equilateral triangle and a red triangle. Prove that the latter is isosceles.
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The seesaw
A regular hexagon with three diagonals and two line segments at right angles. What is the proportion green : yellow : blue : orange?
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The Zamani suggestion
Two regular hexagons share a vertex. What’s the area proportion red : yellow hexagon?
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Squaring a rectangle
A regular hexagon, a square and a rectangle. What is the area proportion rectangle : square?
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The misfit
A rectangle is inscribed in a regular hexagon, covering 14/27 of its area. What is red : yellow : green?
A regular hexagon, a square with its diagonals, an equilateral triangle and a circle. Prove that the hexagon and the circle are concentric.