Round Valley, ArizonaRound Valley is a census-designated place in Gila County, Arizona, United States. The population was 487 at the 2010 census.GeographyThe CDP is located in northern Gila County, just south of the town of Payson. Arizona [State Route 87], the Beeline Highway, forms the western edge of the CDP and runs north to the center of Payson. According to the United States Census Bureau, the Round Valley CDP has a total area of, all land.HistoryRound Valley was the site of the Gibson Ranch in the late 19th century into the 20th century:EducationIt is in the Payson Unified School District. Payson [High School (Arizona)|Payson High School] is the zoned comprehensive high school.