Three regular hexagons, one centre and a triangle. What fraction of the total area is orange?
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The beehive

Three regular hexagons, one centre and a triangle. What fraction of the total area is orange?
A regular hexagon and two squares. What’s the angle α?
What fraction of the regular hexagon is yellow?
A regular hexagon and a square share a vertex. What’s green : red?
A regular hexagon with a diagonal and a right triangle. What fraction is orange?
A regular hexagon and a square share a vertex. What’s the angle α?
A regular hexagon shares a vertex with an equilateral triangle of area 7. What is the area of the hexagon?
A regular hexagon with a diagonal and a circular arc centred in a side midpoint. What fraction is yellow?
A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?
A regular hexagon contains a diagonal, a green equilateral triangle and a red triangle. Prove that the latter is isosceles.