We consider the problem of an ideal polymer confined in a droplet. Whe
n the droplet radius is smaller than the (unconfined) polymer radius o
f gyration, the polymer entropy will depend on the droplet shape. We c
ompute the resulting surface free energy. Using parameters appropriate
for polymers confined in microemulsions, we find that the polymer and
bending surface energies are comparable for the lowest modes. Finally
, we argue that chain self-avoidance will decrease the strength of the
polymer contribution to the surface energy.