The calculated distance (air line) between Karlsruhe and Murnau am Staffelsee is approximately 158 miles respectively 254 kilometers.
By car or train, the actual journey to Murnau am Staffelsee is certainly longer, as only the direct route (as the crow flies) between Karlsruhe and Murnau am Staffelsee has been calculated here.
Air line (approximately)
254 kilometers
137 nautical miles