AbstractApproximate analytic results for two problems involving the inflation of rubber inner tubes and tires are summarized with a view to prompting a comparison of the theory with experimental results. The problems considered are the uniform inflation by internal pressure of a toroidal rubber inner tube or tire which is a perfect torus either in the deformed or undeformed state. The inner tubes or tires are assumed to be free to inflate, that is, they are assumed not to be constrained, for example by a wheel.