Rzymek [ˈʐɨmɛk] is a village in the administrative district of Gmina Barciany, within Kętrzyn County, Warmian-Masurian Voivodeship, in northern Poland, close to the border with the Kaliningrad Oblast of Russia. It lies approximately 8 kilometres (5 mi) south-west of Barciany, 15 km (9 mi) north-west of Kętrzyn, and 67 km (42 mi) north-east of the regional capital Olsztyn.