Categories
Beginner

Papillon

Four quarter circles of radius 1, each containing a square. What is the blue area?

Categories
Intermediate

Below the tree line

A triangle is split in two. What is the area of the green quadrilateral in terms of lengths a and b?

Categories
Advanced

Tympanum II

A regular pentagon with a diagonal. What is the top angle of the isosceles triangle?

Categories
Intermediate

The ramp

A right triangle is split in two. What is the maximum yellow fraction?

Categories
Beginner

The headphones

A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?

Categories
Advanced

The tympanum

A regular pentagon with a diagonal and an extended side. What is the top angle of the isosceles triangle?

Categories
Intermediate

The Eye of Horus

A semicircle containing two equilateral triangles containing a circle. What fraction is blue?

Categories
Intermediate

Hard on portside

Two squares and two diagonals. Two areas are given. What is the total area?

Categories
Intermediate

The swinging pyramid

A regular hexagon and two equilateral triangles share a vertex. What is the area proportion blue : yellow?

Categories
Intermediate

The doors of perception

Two line segments and three rectangles, two of which have a given area. What is the yellow area?