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The angular distribution of 1.37 GeV alpha-particles elastically scattered from a number of nuclei between 12C to 58Ni have been studied in terms of the strong absorption model of Farhn and Venter using the three parameters version of this model. The best fit parameter values of cut-off angular momentum 'T', the rounding parameters ' ' and the real nuclear phase shift 'µ' are obtained. The interaction radius R and the surface diffuseness d, the reaction cross-section R and the coulomb scattering angle thc have been determined from these parameter values. The quality of angular distribution fit is reasonably satisfactory. The radius parameter r0 and the surface diffuseness d are fairly constant. Mass and energy dependence of T, and µ are discussed. A reasonably good description of the elastic scattering data is given by the model in terms of the parameters T, and µ. The quality of angular distribution fit achieved is over all satisfactory.