A square divided by a diagonal and another line segment. What fraction of its area is purple?
The Eightfold Path
A semicircle, a square and an isosceles triangle. What’s the angle α?
Tomba La Bomba
Three regular hexagons inside a circle. Two shared vertices and five vertices on the circle. What’s red : green?
The augmented chord
A circle with four chords. What is the length of line segment x in terms of lengths a and b?
A semicircle, a square and a chord. If the square has area 32, what is the semicircle area?
The dome tent
A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?
Fun with flags
A triangle with two cevians. What is d/c-b/a?
The last wave
A square containing a quarter circle, a semicircle and a circle. What is the proportion blue : green?
The tightrope dancer
A circle containing an isosceles and two equilateral triangles. What is the proportion orange : blue?
The hidden pyramid
A triangle with an inscribed equilateral triangle. If areas A and B add up to C, what are the proportions A : B : C?