Categories
Advanced

The wheelbarrow

A circle and two semicircles are nested as shown. What’s the proportion of their respective radii a : b : c ?

Categories
Intermediate

The Pacman principle

In a circle, two congruent chords are connected in a point. A line segment is drawn through the circle center as shown, forming two angles. What is the proportion α : β?

Categories
Intermediate

The blue diamond

Two isosceles triangles are placed as shown. What is the proportion of the line segments a and b?