In order to understand the blood vessel of artery responding to medical treatments, there is a need to quantify the biomechanical behavior of the vessel. Using video dimension analyser, mechanical pressure-diameter relationships of passive carotid artery with and without balloon inflated at various axial loads were measured. Inversion test was also analytically modeled to address the heterogeneity of artery due to constituents. The pressure-diameter curves and stress distribution across the arterial wall were calculated. The simulation showed that the inversion tests, in comparison to other mechanical tests, provided additional information to develop the strain energy function describing arterial behavior.