A radial seal assembly for providing a seal between a shaft and a static surface includes a gland forming a housing for mounting the seal assembly to the stationary equipment, a sleeve mounted to an movable with a shaft extending from the stationary equipment and a sealing component housed between the gland and sleeve for sealing therebetween. The sealing component includes at least one axially forwarding extending seal surface and at least one axially rearward extending seal surface for providing sealing under both normal and reverse pressure conditions. The sleeve may include a tapered axially inner tip having a double lead-in angle to facilitate assembly while minimizing the length of the seal assembly.