  We study the radiative $\rho^0\to \pi^+\pi^-\gamma$ and $\rho^0\to
\pi^0\pi^0\gamma$ decays and we calculate their branching ratios using a
phenomenological approach by adding to the amplitude calculated within the
framework of chiral perturbation theory and vector meson dominance the
amplitude of $\sigma$-meson intermediate state. Our results for the branching
ratios are in good agreement with the experimental values.
