Abstract: A variable radii cutter which eliminates the need for having to provide a wide assortment of cutting tool bits for continuously imparting various sizes of radii on a workpiece is disclosed. In one embodiment, the variable radii cutter has a cutter in the form of a plurality of blades which mechanically expand and contract in response to one of an automated adjustment mechanism and a manual adjustment for accommodating various sizes of radii. In another embodiment, a ball made of rubber having an abrasive disposed thereon is used as the cutter and operates in the same manner as described above.