  We study the entanglement entropy in confining theories with gravity duals
using the holographic prescription of Ryu and Takayanagi. The entanglement
entropy between a region and its complement is proportional to the minimal area
of a bulk hypersurface ending on their border. We consider a disk in 2+1
dimensions and a ball in 3+1 dimensions and find in both cases two types of
bulk hypersurfaces with different topology, similar to the case of the slab
geometry considered by Klebanov, Kutasov and Murugan. Depending on the value of
the radius, one or the other type of hypersurfaces dominates the calculation of
entanglement entropy. In 2+1 dimensions a useful measure of topological order
of the ground state is the topological entanglement entropy, which is defined
to be the constant term in the entanglement entropy of a disk in the limit of
large radius. We compute this quantity and find that it vanishes for confining
gauge theory, in accord with our expectations. In 3+1 dimensions the analogous
quantity is shown to be generically nonzero and cutoff-dependent.
