The calculated distance (air line) between Brugg and Zürich (Kreis 6) is approximately 17 miles respectively 27 kilometers.
By car or train, the actual journey to Zürich (Kreis 6) is certainly longer, as only the direct route (as the crow flies) between Brugg and Zürich (Kreis 6) has been calculated here.
Air line (approximately)
27 kilometers
15 nautical miles