The calculated distance (air line) between Katowice and Bielsko-Biala is approximately 30 miles respectively 49 kilometers.
By car or train, the actual journey to Bielsko-Biala is certainly longer, as only the direct route (as the crow flies) between Katowice and Bielsko-Biala has been calculated here.
Air line (approximately)
49 kilometers
26 nautical miles