A control circuit utilizes patient information and treatment-platform information to optimize a radiation-treatment plan by permitting isocenters of various radiation-treatment fields as comprise parts of a same treatment plan to not be coincidental with one another to thereby yield an optimized treatment plan. The patient information can pertain to one or more physical aspects of the patient as desired. By one approach, the foregoing can comprise scattering the isocenters of the various radiation-treatment fields around a predetermined point (such as, for example, the center of the treatment volume and/or some or all of the beams). This approach can comprise causing an area of highest energy flux for a given field to be non-coincident for at least some of the radiation-treatment fields as are specified by the radiation-treatment plan.