Radial properties of starburst polymers are calculated by renormalization group techniques starting from the Edwards model of the chain. The calculations are carried but for a polymer in good solvents grown out to an arbitrary number of generations g and having an arbitrary branch functionality f. Excluded volume effects are modeled by delta function pseudopotentials. Only pair interactions are included in the calculations, which specifically determine the amplitude of the average center-to-end distance R of the starburst for definite values of f and g. Our first order in E estimates of the exponents for R and the number of configurations C coincide with results obtained earlier by direct methods for networks of arbitrary topology in specific limits.