During the course of the ROSAT All Sky Survey (RASS), the ROSAT PSPC surveyed the entire Hyades cluster region, over 30$^\circ \times$30$^\circ$ of the sky. Analysis of the RASS deta reveals over 180 probable or possible cluster members which are detected as X-ray sources with an X-ray luminosity L$_x$ $\ga$ 1--2$\times$10$^{28}$ erg s$^{-1}$. The detection rate for the F8-G8 (solar-type) stars is over 90\%. All four Hyades giants are also detected in X-rays, two of which are among the X-ray brightest Hyads, and two are among the faintest. Many objects that are anomalously X-ray bright for their spectral type turn out to be close binaries, including some BY Dra systems. A comparison of 56 Hyades members detected in both the present study and in the Einstein Observatory surveys over a decade ago indicates little evidence for long term variability beyond counting rate statistics, with the giant stars being notable exceptions. The main sequence variation in the X-ray luminosity function and its increasing dispersion for later spectral types will be discussed in the context of angular momentum evolution in open stellar clusters.