The calculated distance (air line) between Higashi-ōsaka and Nara-shi is approximately 13 miles respectively 20 kilometers.
By car or train, the actual journey to Nara-shi is certainly longer, as only the direct route (as the crow flies) between Higashi-ōsaka and Nara-shi has been calculated here.
Air line (approximately)
20 kilometers
11 nautical miles