Cepheids are the primary distance indicators for extragalactic astronomy an
d therefore are of very high astrophysical interest. Unfortunately, they ar
e rare stars, situated very far from Earth. Though they are supergiants, th
eir typical angular diameter is only a few milliareseconds, making them ver
y challenging targets even for long-baseline interferometers. We report obs
ervations that were obtained in the K' band (2-2.3 mum), on the Cepheid zet
a Geminorum with the FLUOR beam combiner, installed at the IOTA interferome
ter. The mean uniform disk angular diameter was measured to be 1.64 +/-0.14
0.16 mas. Pulsational variations are not detected at a significant statist
ical level, but future observations with longer baselines should allow a mu
ch better estimation of their amplitude. The distance to zeta Gem is evalua
ted using Baade-Wesselink diameter determinations, giving a distance of 502
+/- 88 pc.