One or more frame components that each comprise 1/Xth of a 360 degree RFID tag reader antenna array can be physically coupled to one another to thereby form a multi-frame component. One or more RFID tag reader antenna mounts can comprise a part of such frame components and can be configured to aim a corresponding RFID tag reader antenna outwardly of the frame component. These teachings also accommodate disposing a plurality of RFID tag reader antenna units within a facility such that these antenna units are disposed higher than an expected location of, say, at least 90% of the RFID tags when the latter are in the facility. By one approach these antenna units can all be disposed at a substantially same height within the facility. These antenna units may, or may not, be visually concealed as desired.