The calculated distance (air line) between Aci Sant'Antonio and Giardini-Naxos is approximately 17 miles respectively 28 kilometers.
By car or train, the actual journey to Giardini-Naxos is certainly longer, as only the direct route (as the crow flies) between Aci Sant'Antonio and Giardini-Naxos has been calculated here.
Air line (approximately)
28 kilometers
15 nautical miles