That means this car, this reference frame, has a centripetal acceleration which is directed in towards the center of the circle which is to your right.
And distance, in this case, if she's doing a giant, is the circumference of a circle traced out by her center of mass as she goes completely around the bar.
According to Descartes, this is just as certain as it is inherent in the idea of a circle that all points of the circle are equidistant from the center.
If a circle is rolling continuously within a shape, the distance travel by the circle center decreases by one circumference of the circle, making the total number of rotations N minus one.
Take a circle rolling without slipping on any surface from a polygon to a blob, on the outside or the inside, the distance traveled by the center of the circle is equal to the amount the circle has rotated.