Question: What is the capital of the county Arcadia is located in the state WNAS broadcasts to?

full_context: Document 1: Arcadia, North Carolina: Arcadia is an unincorporated community in Davidson County, North Carolina. It is located in the northwestern section of the county along NC Highway 150. Neighboring communities and municipalities include Midway, Welcome, and Winston-Salem.
Document 2: Arcadia, Oklahoma: Arcadia is a town in Oklahoma County, Oklahoma, United States, and a part of the Oklahoma City metropolitan area. The population was 247 at the 2010 census, a decrease of 11.5 percent from 279 at the 2000 census.
Document 3: Wayne Township, Allen County, Indiana: Wayne Township is one of twenty townships in Allen County, Indiana, United States. As of the 2010 census, its population was 103,803.
Document 4: Wayne Township, Hamilton County, Indiana: Wayne Township is one of nine townships in Hamilton County, Indiana, United States and serves as one of two townships within Noblesville, Indiana's jurisdiction. As of the 2010 census, its population was 7,886 and it contained 3,252 housing units, an increase from 2415 in 2000, as Noblesville continues to expand eastward and Fishers reaches its northern limits. In 2007, Noblesville officially opened one of the largest mixed use developments in the state, called the Noblesville Corporate Campus. A portion of the development is located within the township. When completed, it will include a large industrial/commercial park, several housing developments, hotels, greenspace and a large outdoor shopping center called Hamilton Town Center, being built by the Simon Property Group, headquartered in nearby Indianapolis.
Document 5: Arcadia Township, Carroll County, Iowa: Arcadia Township is one of eighteen townships in Carroll County, Iowa, USA. As of the 2000 census, its population was 752.
Document 6: WAJM: WAJM, assigned to 88.9 FM and licensed to Atlantic City, New Jersey, is a high school radio station owned by the Atlantic City Board of Education and is operated by the students of Atlantic City High School. Currently, WAJM broadcasts live Monday thru Friday from 7:00am to 3:30pm and during after hours, on weekends, holidays and when Atlantic City High School is closed due to inclement weather the station operates on an automated system where music, station IDs and PSA are shuffled and broadcast on-air. Starting at its inception WAJM had been broadcasting with a jazz radio format until 2009 when it flipped to a freeform radio format using the moniker 88.9 The Jam. The studios, offices and transmitter are located on the campus of Atlantic City High School on North Albany Avenue in Atlantic City. In 2009 WAJM began simulcasting its live and automated broadcasts via the Internet in both an audio only feed and audio/video feed. The station was a creation of Mr.Norman Draper. The first school year of on air broadcasting was 1996-97. That year the students interviewed "Sugar" Ray Leonard, and did a live simulcast from the grand opening of the new Atlantic City Convention Center.
Document 7: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 8: Jackson Township, Clinton County, Indiana: Jackson Township is one of fourteen townships in Clinton County, Indiana. As of the 2010 census, its population was 1,173 and it contained 469 housing units. The township was named for President Andrew Jackson.
Document 9: Center Township, Wayne County, Indiana: Center Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 7,579 and it contained 3,204 housing units.
Document 10: KANW: KANW (89.1 MHz) is a radio station based in Albuquerque, New Mexico. Launched in 1951, it is the oldest FM radio station in New Mexico. KANW is a public radio station run by the Albuquerque Public Schools. For most of the day it airs New Mexico music and local public radio programming, with some NPR news programming in the morning.
Document 11: WDPS: WDPS (89.5 FM) (for: Dayton Public Schools and its nickname Dayton's Power Source") is a radio station broadcasting a Jazz format. It serves its city of license, Dayton, Ohio, United States. The station is currently owned by Dayton Public Schools. Its programming is aired weekdays during school hours during the curricular school year. The frequency is shared with WQRP which airs a gospel music format when WDPS programming ends after the school day. According to a Dayton Daily News story dated July 21, 2009, the station has moved to new studios located in the David H. Ponitz Career Technology Center at 741 West Washington St. A switch to a "real jazz" format has also taken place.
Document 12: KYDS: KYDS is a Sacramento, California, radio station with the frequency 91.5. It is maintained at El Camino Fundamental High School and select students from the school are allowed to participate in its operation. "KYDS"'s original inception was in 1976 where it broadcast only to the school cafeteria during lunch hour. "KYDS" originally got its FCC broadcast license in 1978 as one of the last Class "D" licensed FM stations in the country. The station went on the air with 10 watts of power (transmitter power output, not effective radiated power), into a 4-bay antenna and broadcast a monaural signal that effectively covered a 5-mile radius.
Document 13: WNAS: WNAS (88.1 FM) is the student-run high school radio station of New Albany High School and Floyd Central High School in southern Indiana, (along with WNAS-TV). The station's call letters, WNAS, reflect the ownership by the New Albany Floyd County School Corporation. The first FM student-run high school radio station to be licensed by the Federal Communications Commission (FCC), WNAS has been broadcasting live since May 28, 1949.
Document 14: Harrison Township, Wayne County, Indiana: Harrison Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 392 and it contained 138 housing units.
Document 15: Center Township, Marion County, Indiana: Center Township is one of nine townships in Marion County, Indiana, in the United States. As of the 2010 census, its population was 142,787 and it contained 76,872 housing units. It is the most populated township in Marion County.
ground_truth: Noblesville
sub_queries: WNAS >> located in the administrative territorial entity Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville