How much bigger is the white hexagon than the red hexagon? (Assume both are regular)
A regular hexagon circumscribes circle O and another regular hexagon is inscribed in circle O. If the radius of circle O is r, show that 3 < π < 2√3.
A regular hexagon with side length 2 has semicircles constructed in its interior of each side. What is the shaded area inside the hexagon not covered by the semicircles?
What is the side length of the smallest regular hexagon that can pack 6 circles of unit length in the given way?
A cube is sliced into halves in such a way that the cut is a regular hexagon. What is the angle (in degrees) between the plane of the cut and the base of the cube?
Consider the regular 9-gon as shown in figure, Which area is larger: the grey or the white?
