The calculated distance (air line) between Wādī as Sīr and Karak City is approximately 55 miles respectively 88 kilometers.
By car or train, the actual journey to Karak City is certainly longer, as only the direct route (as the crow flies) between Wādī as Sīr and Karak City has been calculated here.
Air line (approximately)
88 kilometers
48 nautical miles