The calculated distance (air line) between Nottingham and Stoke-on-Trent is approximately 43 miles respectively 70 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 Nottingham and Stoke-on-Trent has been calculated here.
Air line (approximately)
70 kilometers
38 nautical miles