No, those are not orange radishes. The little orange globes you see above are the old carrot variety 'Parisian', sometimes called 'Parisian Market'. In addition to offering an unusual shape for carrots, they have the advantage, because of their round shape, of growing well in rough, stony soil (e.g. the soil in my new community garden plots). To attain their sleek, long form, typical carrots require deeply prepared soil free of obstructions such as stones. To harvest 'Parisian' no digging is necessary: the carrots form at the surface or just under it and pull easily from the ground.
Above you see them as freshly dug and then after a stop with the fluffers for their blog debut.