A downhole tool having a cylindrical body, a sleeve having a contact portion disposed on a distal end, and a cutter having a radiused portion on a top surface operatively engageable with the contact portion. Also, a method of cutting drill pipe, the method including disposing a cutting tool in a wellbore around the drill pip and actuating a radiused cutter of the cutting tool, wherein the actuating includes radially extending the cutter into contact with the drill pipe. The method also includes applying a substantially constant force between the cutter and the drill pipe and rotating the cutting tool. Additionally, a cutter for a drill pipe cutting tool, the cutter including a work surface located at a first end of the cutter, an attachment point located at a second end of the cutter, and a radiused surface located between the work surface and the attachment point.