The calculated distance (air line) between Bangor and Stoke-on-Trent is approximately 82 miles respectively 132 kilometers.
By car or train, the actual journey to Stoke-on-Trent is certainly longer, as only the direct route (as the crow flies) between Bangor and Stoke-on-Trent has been calculated here.
Air line (approximately)
132 kilometers
71 nautical miles