Categories
Advanced

The common ground

Two squares share a vertex. Two other vertices are 4 units apart. A third green square has the centres as opposite vertices. What is its area?

Categories
Intermediate

Rising bread

A regular hexagon with a diagonal and a circular arc centred in a side midpoint. What fraction is yellow?

Categories
Intermediate

The antenna

A regular pentagon with an extended side. What’s the angle α?

Categories
Beginner

The double bottom

A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?

Categories
Beginner

Eleven

A square contains a yellow right triangle with an area of 11. What is the square’s area?

Categories
Advanced

Çetins circle

A square, a semicircle and six line segments. What’s the angle α?

Categories
Intermediate

The erratic spider

A square with several line segments. Prove that the blue ones are parallel.

Categories
Intermediate

Black and blue

A square with an extended side inside another square. What fraction of the latter is blue?

Categories
Intermediate

Mother and child

Two circles, two radii and three chords. What is the length of radius x in terms of a, b and c?

Categories
Beginner

Almost sunk

A square contains a right triangle. What fraction is red?