A drilling tool extends in a longitudinal direction and has a drill point and first and second major cutting edges, which extend approximately radially outward. The drill point is arranged eccentrically relative to a central axis, which is the same as the axis of rotation. The second major cutting edge is arranged by a cutting-height difference higher than the first major cutting edge. The first major cutting edge has a shorter radial edge length than the second major cutting edge. A method of utilizing the tool is also disclosed.