Planet Cutting
Geometry
Level
2
On a spherical, land-only planet, there are two cities A and B on the equator.
A railway track--connecting these two cities and going around the planet--can possibly split the planet into two hemispheres, as shown in the diagram.
Given any two cities on this planet, is it always possible to construct an around-the-planet railway track that splits the planet into two hemispheres of equal size?
by
Agnishom Chattopadhyay