The scope of this work is to introduce a software tool for optimization of circular spiral inductors. It is based on compact model, where the physical behavior is described through analytical expressions in geometric programming (GP) form. This paper describes three significant innovations (a) optimization of circular inductor via GP, (b) new expressions for inductance and Q-factor in GP form, (c) globally optimal trade-off curves between maximum self-resonant frequency and inductance values or minimum inductor area and inductance values. The proposed optimization algorithm is flexible because the designers of RF integrated circuits can easily optimize the circular inductor for a desired performance.