On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons

Abstract A convex body R in the hyperbolic plane is called reduced if any convex body $K\subset R$ has a smaller minimal width than R . We answer a few of Lassak’s questions about ordinary reduced polygons regarding its perimeter, diameter, and circumradius, and we also obtain a hyperbolic extension of a result of Fabińska.