A regular hexagon and a circle centred in the blue point. What’s the angle α?

# Tag: hexagon

## Tilted hourglass III

A regular hexagon, a circle through its red centre and two line segments. What’s blue : orange?

## The hex division

A regular hexagon with two diagonals and two perpendiculars. What’s red : yellow?

## The see-through triangle

A regular hexagon and an equilateral triangle share a vertex. What is red : blue?

## Go Orange

A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?

## Roll over Beethoven

Two regular hexagons share a vertex. If the red hexagon has area 4, what is the area of the blue one?

## The hexagonal dart board

25 darts land inside a regular-hexagonal dart board with edge length the square root of 3. Show that at least five of the darts land inside the same unit circle.

## Your turn

A regular hexagon of which the centre is a vertex of an equilateral triangle. What is the angle α?

## The beehive

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

## Outside the hive

A regular hexagon and two squares. What’s the angle α?