The calculated distance (air line) between Stoke-on-Trent and Burton upon Trent is approximately 26 miles respectively 42 kilometers.
By car or train, the actual journey to Burton upon Trent is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Burton upon Trent has been calculated here.
Air line (approximately)
42 kilometers
23 nautical miles