Two regular hexagons and a circumcircle. What is blue : red?

# Tag: hexagon

## Six six four

Two regular hexagons and a square. What’s the angle α?

## The punctured hexagon

A regular hexagon, a square and an equilateral triangle. Show that the top vertex of the triangle is on the hexagon circumcircle.

## Four six four

A regular hexagon and two similar rectangles. What fraction is green?

## Six four

A regular hexagon and an inscribed tilted rectangle. What is the angle α?

## Ball of yarn

A cyclic hexagon has concurrent cross diagonals. What is the ratio of the product of the orange sides compared to the product of the purple sides. (ace:bdf).

## The open roof

A regular hexagon with two line segments at right angles. What is the minimum of yellow : red?

## The pumpkin

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

## 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?