A bone reamer (14) includes a shaft (30) and a cutting element (32). The shaft includes a proximal end (34), a distal end (36), and a flexible portion (37) disposed between the proximal and distal ends. The cutting element is carried by the shaft and includes a cutting surface (62) facing the distal end of the shaft such that the distal end of the shaft is offset from the cutting surface. The cutting element may have arms (60) and a propeller-shaped profile. The shaft defines a cannula (42). A guide (16) for the bone reamer has a boss (66) along a first axis (76), a hub (68) along a second axis (81) forming an angle a with the first axis, and a flange (70) substantially perpendicular to the second axis. The reamer can be used for reaming the glenoid.