Categories
Intermediate

Corner to corner

A rectangle inside a rectangle. What is the green area?

Categories
Advanced

The ball pit

Two rectangles contain 6 congruent circles. The common rectangle side passes through the top centre. What’s yellow : red?

Categories
Intermediate

Shine your light

A quarter circle of radius 1, a rectangle touching the circle in an arbitrary point and a yellow quadrilateral. What is the minimal perimeter of this quadrilateral?

Categories
Intermediate

The small cog

Two circles, a rectangle and two line segments. Prove that the red points are collinear.

Categories
Intermediate

The personal letter

Two rectangles share two vertices. What’s the green fraction?

Categories
Beginner

A tight squeeze

Two intersecting circles inside a rectangle and a line segment connecting vertex, intersection point and tangency point. What’s the angle α?

Categories
Intermediate

The dug-in heel

A rectangle containing a right triangle. What’s red : blue?

Categories
Intermediate

The sunny side

An equilateral triangle inside a rectangle. What’s red : yellow : blue?

Categories
Intermediate

North by Northwest

An equilateral triangle and a rectangle. What’s the angle α?

Categories
Beginner

Crossing mountains

A rectangle with four line segments. What’s brown : blue?