Çayağzı is a village in Durağan District, in Sinop Province, Türkiye. Çayağzı lies at 337 m above sea level, in the Küre mountains. It has 90 inhabitants. The nearest city is Boyabat, 29 km to the west. Among the landmarks around are Boyabat Dam (14.0 km), Dodurga Dam (17.1 km) and Nerik (34 km).