Cutting tool, in particular a boring bar, and method for machining a number of holes

A cutting tool comprising a main body extending in an axial direction with an axis of rotation, with at least one cutting element having a cutting edge, as well as with a number of guide elements for guiding the main body within a guide hole, wherein

• the guide elements are separated from the axis of rotation by a guide radius,
• the main body, viewed in a cross-section, is divided into a functional region and an eccentric region,
• the at least one cutting element and the guide elements are arranged And distributed over the circumference of the main body over an angular region (α) of less than 180° measured from the cutting edge of the at least one cutting element,
• the circumferential face of the main body in the eccentric region has a distance from the axis of rotation that is less in comparison with the guide radius,
• and
• the main body has a basic body as well as at least one balance element that is positioned within the eccentric region and is designed to at least partially balance an otherwise existing imbalance, and wherein
• a parting plane is formed between the basic body and the balance element which is oriented substantially parallel to within 10° of a midplane that is established by the axis of rotation and the cutting edge of the cutting element, and oriented substantially perpendicular to a deformation direction of the cutting edge.