Lake Faak is a lake in the Austrian state of Carinthia. With an area of approximately 2.2 km², it is the state's fifth-largest lake. The lake is located southeast of Villach in the Drava Valley, below the northern slope of the Karawanks mountain range beneath Mt. Mittagskogel. The settlements of Drobollach and Egg on the northern shore belong to the City of Villac…Lake Faak is a lake in the Austrian state of Carinthia. With an area of approximately 2.2 km², it is the state's fifth-largest lake. The lake is located southeast of Villach in the Drava Valley, below the northern slope of the Karawanks mountain range beneath Mt. Mittagskogel. The settlements of Drobollach and Egg on the northern shore belong to the City of Villach. The village of Faak to the southwest, after which the lake is named, is part of the municipality of Finkenstein. It is the only lake in Carinthia located on the right bank of Drava River).