A walk-behind apparatus and method for cutting non-linear trenches in concrete includes a frame supported by fixed direction wheels at a front end on a fixed axis of rotation, and multi-directional wheels at a rear end to rotate on movable axes of rotation, to permit the frame to rotate about a vertical axis passing through the frame. A handle is engageable by a user walking behind the frame for pushing the apparatus forward and/or for steering. A cutting wheel has a diameter of 5-20 inches and a cutting portion having a width of 0.5-1.5 inches. The cutting rotates on an axis parallel to the fixed axis and which extends notionally through the fixed direction wheels. The cutting wheel is disposed within a protective shroud viewable by the user to permit the user to visually align and guide the cutting wheel along a non-linear path on the ground while steering.