A method of reaming an acetabulum includes the steps of: providing an acetabular reamer including a partially hemispherical shell having a shell radius, and a base including a first circumferential base segment and a second circumferential base segment, the shell including a first part on one side of the first circumferential base segment and the second circumferential base segment, and a second part on another side of the first circumferential base segment and the second circumferential base segment, the acetabular reamer further including a first non-planar surface connected to the first part, the first non-planar surface having a first curvature not equal to the shell radius, and a second non-planar surface connected to the second part, the second non-planar surface having a second curvature not equal to the shell radius; connecting the acetabular reamer to a driver; and reaming the acetabulum.