In this paper, we report on new x-ray observations of the Perseus clus
ter made using four separate pointings of the ROSAT PSPC. We searched
for x-ray emission associated with 16 radio galaxies and detected six
above 3 sigma. We made use of the PSPC spectra to determine if the x r
ay emission associated with radio galaxies in Perseus is thermal or no
nthermal in origin (i.e., hot gas or an AGN). For the head-tail radio
galaxy IC 310, we find that the data are best fit by a power law model
with an unusually large spectral index alpha=2.7. This is consistent
with its unresolved spatial structure. On the other hand, a second res
olved x-ray source associated with another radio galaxy 2.3 Mpc from t
he Perseus center (V Zw 331) is best fit by a thermal model. For three
sources with insufficient flux for a full spectral analysis, we calcu
lated hardness ratios. On this basis, the x-ray emission associated wi
th the well known head-tail source NGC 1265 is consistent with thermal
radiation. The x-ray spectra of UGC 2608 and UGC 2654 probably arise
from hot gas, although very steep power-law spectra (alpha>3.2) are al
so possible. The spectrum of NGC 1275 is quite complex due to the pres
ence of an AGN and the galaxy's location at the center of a cluster co
oling flow.