The calculated distance (air line) between Bielefeld and Bad Homburg vor der Höhe is approximately 125 miles respectively 201 kilometers.
By car or train, the actual journey to Bad Homburg vor der Höhe is certainly longer, as only the direct route (as the crow flies) between Bielefeld and Bad Homburg vor der Höhe has been calculated here.
Air line (approximately)
201 kilometers
108 nautical miles