Euclid is a city in Cuyahoga County, Ohio, United States. It is part of the Greater Cleveland Metropolitan Area, and borders Cleveland. As of the 2000 census, the city had a total population of 52,717. In 2006 Euclid's population was estimated at 48,717. Euclid apartments for rent comparison page shows most up to date rent information on Euclid apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.