heres everything you need to know, cause im bored and putting off schoolwork.
sidecut, along with flex control the way a ski turns. its not just how deep the sidecut is, but also the taper. taper is the relation of the tip and tail widths. most park skis have very little or no taper. you can think of it like this, the wider nose of a ski acts like the front tires of a car, and creates a steering bias. a symetrical ski rides like a car with 4 wheel steering, Super tight turns, however they tend to want to stay hooked up, and are harder to transfer from edge to edge. also, the overhanging edge drags in the snow, slowing the ski SLIGHTLY. these two factors lead to non tapered skis being slower, and being less stable at speed. ON the other end of the spectrum, Race skis have large amounts of taper, which lets the ski handle comfortably at speed, and reduces the edge drag.
Now, aside from taper, there is sidecut, which is either a false radius (almost no skis use single radius sidecuts nowadays) or the depth of the curve from the taper. skis with deeper sidecut are more lively, and willing to make snappy, tight turns. this works great when paired up with a snappy flex, and is great for good riders who are totally in control of their skis. shallower sidecut skis are more stable, and less turny. this style of ski usually has a more damp flex, and are more controlable at speed, and is usually a favorite of people who either ski at high speeds, or are just learning, as the shape is more forgiving.
now, all of this is pretty minimal for most people, and almost all park skis ride fairly similarly. unless you are looking for these characteristics, and have expierence on other skis, you wont notice too much. but hopefully you learned some stuff and will be able to use it to figure out whatever you were looking to answer