Question: What is the capital of the county that contains Arcadia in the state where WKOA is located?

full_context: Document 1: 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 2: 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 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: WOLT: WOLT (103.3 FM, "ALT 103.3") is an FM radio station in Indianapolis, Indiana. The alternative rock-formatted station is owned by iHeartMedia. The studios are located at 6161 Fall Creek Road on the northeast side of Indianapolis. The transmitter and antenna are located on the northwest side of Indianapolis.
Document 5: 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 6: KOAI: KOAI (95.1/94.9 FM "The Oasis") is a classic hits radio station serving the Phoenix metropolitan area and licensed to Sun City West, Arizona. The station is owned by Sun City Holdings under the name of "Sun City Communications," and is part of the Great Hill Partners investment portfolio. It is licensed to and operated by Riviera Broadcast Group. Its studios are located on 7th Street in Midtown Phoenix, while its transmitter is located in Crown King, Arizona (producing a rimshot signal from 50 miles northwest of Phoenix).
Document 7: 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 8: 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 9: 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 10: WKDF: WKDF (103.3 FM, "103.3 Nash FM") is a Country music radio station broadcasting on a frequency of 103.3 MHz from Nashville, Tennessee. WKDF is owned by Cumulus Media. A transmitter site is in Brentwood, Tennessee, and its studios are located in Nashville's Music Row district.
Document 11: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 12: 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 13: WKKO: WKKO is a commercial FM radio station in Toledo, Ohio broadcasting on 99.9 MHz with a country music format. It is owned by Cumulus Media. The station's studios are located in Toledo, and its transmitter is located in Harbor View, Ohio.
Document 14: WKOA: WKOA (105.3 FM), known as "K 105", is a radio station licensed to the city of Lafayette, Indiana. The station operates on the FM radio frequency of 105.3 MHz, FM channel 287. The studios are located at 3575 McCarty Lane in Lafayette, Indiana. The tower is located at the same location.
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: What is the name of the state where WKOA is located? Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville