The calculated distance (air line) between Plaisance-du-Touch and Clermont-Ferrand is approximately 176 miles respectively 284 kilometers.
By car or train, the actual journey to Clermont-Ferrand is certainly longer, as only the direct route (as the crow flies) between Plaisance-du-Touch and Clermont-Ferrand has been calculated here.
Air line (approximately)
284 kilometers
153 nautical miles