The calculated distance (air line) between Wörth am Rhein and Karlsruhe is approximately 7 miles respectively 11 kilometers.
By car or train, the actual journey to Karlsruhe is certainly longer, as only the direct route (as the crow flies) between Wörth am Rhein and Karlsruhe has been calculated here.
Air line (approximately)
11 kilometers
6 nautical miles