The Painleve-Gullstrand chart, which describes the Schwarzschild solution, has a flat spatial section. All the curvature is in the time-time and time-space parts of the metric. From this it seems we could conclude that the r coordinate in the PG chart relates to the circumference as it does in flat space. This is obviously not the case for the Schwarzschild chart, here the spatial section is not flat and thus the r coordinate does not relate to the circumference as it does in flat space. One can convert the Schwarzschild chart to the PG chart without integration while one can only calculate a physical radius using the Schwarzschild chart by integration because the spatial section is not flat. Now is this consistent?