given a fixed convex body $k$, choose $n$ points randomly on the boundary of $k$ according to a ``uniform" distribution, and call the convex hull of these $n$ points a random inscribing polytope. we will discuss some recent asymptotic results on the volume of these polytopes. namely, we will prove a lower bound on the variance, some concentration result, and an analogue of the central limit theorem. this is joint work with ross richardson and van vu.