Imagine a giant circle overlapping the edge of the snowboard. Depending on the radius of the circle, the sidecut will be tighter or more mellow. A higher number is typically less aggressive and more stable, while a smaller radius is more performance driven. Some companies have 'progressive' sidecuts which is a combination of more than one radius. This allows the board to have the characteristics of one radius to initiate the turn and another radius to complete the turn.
Sidecut Depth
The sidecut depth measures how far into the edge of the snowboard the sidecut radius (giant circle) cuts away. Draw a straight line from the widest part of the tail to the widest part of the nose. The distance between that line and the waist of the board is the sidecut depth