A face milling cutter has a shank portion adjoining a cutting portion. The cutting portion terminates in a plurality of cutting edges extending in a radial direction from a central axis of the face milling cutter. The cutting edges are convexly curved at least along a part of their length. A portion of the cutting edges proximate the central axis is nearer in an axial direction to the shank portion than a point, X, on the cutting edges that is farthest away from the shank portion. A distance Y, between the point, X, and the central axis is between 20% and 40% of a diameter, D, of the face milling cutter, and a central portion extends the distance, Y, and has a radius of curvature of about 110% of the diameter, D.