A story about the decision to move the Fairfax County governmental center in yesterday's editions of The Washington Post incorrectly reported the amount of money that might be gained by the move. A citizens group said the county could receive $15 million in tax revenues over the next 40 years in business development that would grow around the new governmental complex.

The center of Fairfax County's government, which has been located in Fairfax City since 1800, will be moved elsewhere, the County Board of Supervisors decided yesterday.

The county plans to maintain offices in the Massey Building, a 13-story glass and concrete tower completed eight years ago in the city, but will build several new governmental buildings at a site that is yet to be chosen, according to County Executive Leonard Whorton.

On a 7-to-2 vote, the board declared its intent to move the center of county government to a new site. The board set up a subcommittee made up of three supervisors to work with county officials and return next Monday with a plan for choosing a site for relocation.

The county currently is considering four possible sites for relocation. Two of the areas are just inside the Capital Beltway, one to the north and one to the south of Rte. 50, and would cost $9.4 million and $11.7 million respectively according to a recent citizens group report.

The two other possible sites are located west of Fairfax City and carry price tags estimated at $3.7 million and $1.7 million.

The citizens group report on government relocation estimated that the county stands to gain $15 million in tax revenues over the next four years from business development that would grow around the governmental complexes. Taxes now paid by businesses near the Massey Building go to the independent political jurisdiction of Fairfax City.

The county pays about $741,000 in rental costs for 15 buildings in Fairfax City, according to Fairfax officials. Over the next 40 years the citizens group study estimates the county could save as $50 million by relocating.

The Board of Supervisors decided not to recommend relocation of the county courthouse as had been considered. A new county courthouse is scheduled to be built by 1981 adjacent to the county's exising-government offices in Fairfax City.

Board chairman John F. Herrity and Supervisor Audrey Moore (D-Annandale) voted against the board's decision to announce its intention to move out of Fairfax city. Both Moore and Herrity said they did not object to the proposed move, but that they thought it premature for the board to announce its intention to move without greater information on where the county would move to.

Supervisor Martha V. Pennino (D-Centreville), who made the motion for relocation, said the move had nothing to do with dissentions between the county government and Fairfax City, a much-publicized conflict over the past several years. Pennino said the city did not have enough space for the growing county government and that the county's presence in the city caused "horrendous" traffic problems.