The city of Bellevue could receive about $2.4 million in new revenue in 2012 if voters approve a countywide, sales-tax increase in November to pay for public-safety agencies.

The Metropolitan King County Council voted Monday to place the two-tenths of a percent sales-tax increase on the Nov. 2 ballot.

The sales-tax hike would go into effect in 2011, raising about $59 million countywide. In 2012, the first full year of the tax increase, the amount raised is estimated at about $80 million.

The county’s 39 cities will share 40 percent of the revenue, or about $23.6 million in 2011 and about $32 million in 2012.

How much money each city receives is based on population. According to King County, based on 2009, Bellevue’s population of 120,600 is about 7.7 percent of the county’s population. That translates into the $2.4 million.

Other area cities and towns to benefit include:

Beaux Arts, $6,436; Clyde Hill, $57,517; Hunts Point, $9,501; Medina, $60,685; Newcastle, $202,794; Yarrow Point, $19,717.

The law requires that cities spend one-third of the revenue on criminal-justice services.

The tax increase expires after three years if it isn’t renewed by voters.

The county’s portion of the revenue would go solely to public safety programs, ranging from the Sheriff and Prosecutor’s Office to Public Defense and Jail Health Services.

Along with an increase in the sales tax, the measure would use a portion of the county’s unincorporated area levy — $9.5 million in 2011 — to fund police services in the county’s unincorporated communities.