A method for delivering therapeutic radiation to a target includes positioning a multi-aperture collimator on the skin within a trajectory of orthovoltage x-rays directed at the target, thus generating an array of minibeams, each of width between 0.1 mm to 0.6 mm. The skin is irradiated with the array. An effective beam of therapeutic radiation, which may be a solid beam, is delivered to the target at a predetermined tissue depth by merging adjacent orthovoltage x-ray minibeams sufficiently to form the effective beam. The effective beam may be formed proximal to the target. The depth at which the effective, preferably, solid, beam is formed is controlled by varying one or more of the spacing of the minibeams in the array, the minibeam width, the distance from the x-ray source to the collimator, and the x-ray source spot size. Planar minibeams can be arc-scanned while continuously modulating beam shape and intensity.