Osage is a city in Mitchell County, Iowa, United States. It is the county seat of Mitchell County. According to the United States Census Bureau, the city has a total area of 2.1 square miles (5.4 Square Kilometer), all of it land. The Cedar River Complex (CRC) is a community recreation destination that includes an events center, wellness center, museum and auditorium. The CRC offers opportunities to meet, play, learn and enjoy. Located in Mitchell County, Iowa, the Cedar River Complex is a multi-faceted recreation facility which includes an events center, a wellness center, the Mitchell County Historical Museum and an auditorium.