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In this article, we continue our investigations of the boundary behavior ofharmonic mappings. We first discuss the classical problem on the growth ofradial length and obtain a sharp growth theorem of the radial length of$K$-quasiconformal harmonic mappings. Then we present an alternatecharacterization of radial John disks. In addition, we investigate the linearmeasure distortion and the Lipschitz continuity on $K$-quasiconformal harmonicmappings of the unit disk onto a radial John disk. Finally, using Pommerenkeinterior domains, we characterize certain differential properties of$K$-quasiconformal harmonic mappings.

Radial length, radial John disks and $K$-quasiconformal harmonic mappings