Angular distributions for elastic scattering of /sup 238/U ions by /sup 165/Ho, /sup 197/Au, and /sup 209/Bi at 2380 MeV have been obtained in a 2..pi.. geometry using solid state nuclear track detectors. The angular distributions of the elastic differential cross section ratios sigma/sub el/(expt.)/sigma(Ruth) are analyzed using (a) the generalized Fresnel model and (b) the parametrized S-matrix method. Quarter-point angles obtained are converted to reaction parameters such as grazing angular momenta, interaction radii, and total reaction cross sections. Values of inelastic total reaction cross sections were obtained by directly counting the three-, four-, and five-prong events along with the two-prong inelastic events as observed in the 2..pi.. geometry. Experimental total reaction cross sections are compared with optical and sharp cutoff model calculations. There is good agreement among the total reaction cross sections evaluated from elastic and inelastic data as well as with model calculations.