Arcadia is a village in the towns of Richmond and Exeter in the U.S. state of Rhode Island. Secluded from most busy areas, the only way to access the small village located near the tri-point of the towns of Richmond, Exeter and Hopkinton, Rhode Island, is by Arcadia Road, via Nooseneck Hill Road, which can be accessed numerous ways, including I-95 exi…Arcadia is a village in the towns of Richmond and Exeter in the U.S. state of Rhode Island. Secluded from most busy areas, the only way to access the small village located near the tri-point of the towns of Richmond, Exeter and Hopkinton, Rhode Island, is by Arcadia Road, via Nooseneck Hill Road, which can be accessed numerous ways, including I-95 exit 4 in Rhode Island. The village of Arcadia is located in the Arcadia Management Area. After reaching the village, Arcadia Road turns east towards KG Ranch Road in Richmond, while continuing straight will bring you farther into the village along Summit Road. Summit Road eventually becomes a dirt trail that reaches 10 Rod Road in Exeter.