A circular folding wheel has a center wheel section encompassing the center of a circle and adapted to be mounted to an axle at the center, with a side substantially corresponding to a chord of the circle. A wheel segment is pivotally attached to the center wheel section about a pivot axis extending along the side of the center wheel section. The wheel segment is movable from a rolling orientation, where the outer edge of the wheel segment is aligned with an outer edge of the center wheel section such that the folding wheel takes a rolling circular shape, to a folded orientation where the wheel segment extends laterally away from the pivot axis. Two, three, or more wheel segments can be pivotally attached to corresponding sides of the center wheel section.