The calculated distance (air line) between Bogorodsk and Nizhniy Novgorod is approximately 25 miles respectively 40 kilometers.
By car or train, the actual journey to Nizhniy Novgorod is certainly longer, as only the direct route (as the crow flies) between Bogorodsk and Nizhniy Novgorod has been calculated here.
Air line (approximately)
40 kilometers
21 nautical miles