A Toeplitz operator \(T_\phi\) with symbol \(\phi\) in \(L^{\infty}({\mathbb{D}})\) on the Bergman space \(A^{2}({\mathbb{D}})\), where \(\mathbb{D}\) denotes the open unit disc, is radial if \(\phi(z) = \phi(|z|)\) a.e. on \(\mathbb{D}\). In this paper, we consider the numerical ranges of such operators. It is shown that all finite line segments, convex hulls of analytic images of \(\mathbb{D}\) and closed convex polygonal regions in the plane are the numerical ranges of radial Toeplitz operators. On the other hand, Toeplitz operators \(T_\phi\) with \(\phi\) harmonic on \(\mathbb{D}\) and continuous on \({\overline{\mathbb{D}}}\) and radial Toeplitz operators are convexoid, but certain compact quasinilpotent Toeplitz operators are not.