Clay City, KY -- U.S. city in Kentucky Population (2000): 1303 Housing Units (2000): 588 Land area (2000): 1.086318 sq. miles (2.813550 sq. km) Water area (2000): 0.000000 sq. miles (0.000000 sq. km) Total area (2000): 1.086318 sq. miles (2.813550 sq. km) FIPS code: 15238 Located within: Kentucky (KY), FIPS 21 Location: 37.863203 N, 83.928281 W ZIP Codes (1990): Note: some ZIP codes may be omitted esp. for suburbs. Headwords: Clay City, KY Clay City