Generally, when doing "kerbing" (aka: "curbing" this side of the pond) the engineers here show the linear footage (or meters) to the PC (Point of curvature) then they show the radius of the curb curve to the PT (Point of Tangency). You can use the "curve solver" to get the rest of the curve data (ie, curve length, etc.) Fairly straight forward if you have the Civil package.
If you bust up the polyline into its elements then the curve labeling routine in AutoCad will give you all the data you want. Then just add up the "straights" and "bends' and you have your total.