Enumclaw is a city in King County, Washington, United States. The population was 11,116 at the 2000 census. The center of population of Washington is located in Enumclaw . The Enumclaw Plateau, on which the city resides, was formed by a volcanic mudflow from Mount Rainier approximately 5700 years ago . The name Enumclaw is derived from a local Native American word meaning "strong wind" or "thundering noise" due to the significant winds that sweep along the plateau . The city is named after a mountain about six miles (10 km) north.