I find all this animated circle stuff resonates well with my three chords:
(i) e to the i times tau equals one <-- unit circle in complex pancake
(ii) data structures
(iii) time dimension <-- moving around the clock face
It's somewhat unfortunate that we sometimes let convention eclipse imagination.
Put the camera (point of view) behind the unit circle and rotate it (the camera) by 90 degrees such that a unit circle "second hand" sweeps clockwise (as usual) from (0, 1) at the top (noon), all the way around the clock face for tau radians, back to (0,1).
A shortcoming of 1900s math was little attention was paid to the viewpoint, which was "god's eye" and we were meant to forget about it (no little "man behind the curtain" viewing the vista). When you look at an XY graph, where do you look from? If you look from behind it, the x-positive goes to the left.
A lack of fluency with moving in space develops when only planar, fixed, no-observer geometry is taught, with X-positive always to the right (who's right?).
Spatial fluency is natural and has to be dulled a lot to make plane (aka "land lubber") geometry so all-encompassing. Don't let that Euclidean stuff dumb you down! Euclid wasn't into flat either. His investigations led towards actual volumes in the later books.
Plane geometry is a means to an end, and in teaching what math is For we need to dwell on the ends, more than just means.
Thanks to 21st Century visualization technology, chances are you can rotate your XY plot around any axis you like, thereby reminding the viewer that viewpoint is variable, never fixed (except by convention).
When showing a plane, don't hesitate to pull back and show more of the surrounding vista, which may well be spherical in nature. The better school districts all teach this.
Kirby