The calculated distance (air line) between Bourg-la-Reine and Orléans is approximately 63 miles respectively 102 kilometers.
By car or train, the actual journey to Orléans is certainly longer, as only the direct route (as the crow flies) between Bourg-la-Reine and Orléans has been calculated here.
Air line (approximately)
102 kilometers
55 nautical miles