A coupling for joining pipe elements in end to end relation is disclosed. The coupling includes interconnectable coupling segments having connection members at opposite ends. The connection members are tightenable for drawing the segments toward one another and into engagement with the pipe elements. Each segment has a concavity positioned between inwardly projecting arcuate surfaces that engage grooves in the pipe elements. The concavities house a sealing member that extends circumferentially around the pipe elements. Angularly oriented surfaces are positioned adjacent to the connection members. The surfaces on facing segments engage one another and cause the segments to rotate in opposite directions about an axis perpendicular to the pipe elements. The concavities are angularly oriented with respect to the axis so that when the segments rotate, the cavities receive the sealing member without distorting it. A method of joining pipe elements end to end is also disclosed.