2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110102We prove that if $E$ is a planar self-similar set with similarity dimension $d$ whose defining maps generate a dense set of rotations, then the $d$-dimensional Hausdorff measure of the orthogonal projection of $E$ onto any line is zero. We also prove that the radial projection of $E$ centered at any point in the plane also has zero $d$-dimensional Hausdorff measure. Then we consider a special subclass of these sets and give an upper bound for the Favard length of $E(ρ)$ where $E(ρ)$ denotes the $ρ$-neighborhood of the set $E$.16 pagesClassical Analysis and ODEs28A80text