Since often only global parameters are experimentally available to characterize Reversed-Field-Pinch (RFP) equilibria, it is important to know to what degree these parameters constrain the possible equilibrium configuration. The general properties of the set of RFP equilibria corresponding to these global parameters are quantified. While, of course, the exact form of the equilibrium in an RFP cannot be determined by this procedure, precise limits on various physical quantities of interest are obtained.