In this work, previously reported analytical formulations are systematically discussed and analyzed to evaluate key beam parameters, including the solid angle subtended by a beam at a point source, the total area intercepted by the beam on a spherical surface, and the cone angle of an equivalent beam with a circular cross section. These formulations enable the transformation of a beam with a rectangular profile into an equivalent circular profile, and vice versa, while preserving the total radiation energy or luminous flux associated with the original beam emitted by a uniformly radiating point source. The presented analysis is particularly useful for radiometric applications involving the evaluation of radiation energy and directional intensity of uniform point sources, as well as for photometric applications concerned with luminous flux and luminous intensity in specified directions. Furthermore, the results facilitate the replacement of rectangular apertures with circular apertures, and conversely, without altering the total transmitted radiation energy or luminous flux. Consequently, the discussed formulations provide a valuable theoretical framework for the analysis and design of optical and beam-emitting devices, such as laser systems, based on uniformly radiating point sources.