The calculated distance (air line) between ‘Anat al Qadīmah and Kirkuk is approximately 155 miles respectively 249 kilometers.
By car or train, the actual journey to Kirkuk is certainly longer, as only the direct route (as the crow flies) between ‘Anat al Qadīmah and Kirkuk has been calculated here.
Air line (approximately)
249 kilometers
135 nautical miles