  We investigate harmonic mappings $f=h+\bar{g}$ defined in the unit disk,
where $g$ and $h$ satisfy certain prescribed conditions and the analytic part
$h$ belongs to the Ma and Minda class of starlike functions. Certain sharp
radius results for univalency, close-to-convexity, fully starlikeness, fully
convexity, and radius of strongly starlikeness are established. We also
calculate the radius of uniformly starlikeness and convexity for these
functions. Several results enhance the well-known radius results.
