The calculated distance (air line) between Pont-du-Château and Clermont-Ferrand is approximately 8 miles respectively 13 kilometers.
By car or train, the actual journey to Clermont-Ferrand is certainly longer, as only the direct route (as the crow flies) between Pont-du-Château and Clermont-Ferrand has been calculated here.
Air line (approximately)
13 kilometers
7 nautical miles