The calculated distance (air line) between Rhosllannerchrugog and Swansea is approximately 103 miles respectively 166 kilometers.
By car or train, the actual journey to Swansea is certainly longer, as only the direct route (as the crow flies) between Rhosllannerchrugog and Swansea has been calculated here.
Air line (approximately)
166 kilometers
89 nautical miles