The town’s Bicycle Advisory Committee has joined with its counterparts in Arlington and Bedford to issue a new map of the Minuteman Bikeway, using funding from a state grant and private donations. The free map traces the recreational trail’s 10-mile route between Bedford and the MBTA’s Alewife Station in Cambridge, along with major roadways, connecting trails, user guidelines, and nearby points of interest. Peggy Enders, the chairwoman of Lexington’s committee, said the map was created using about $6,000 of a $37,000 grant from the state Department of Conservation and Recreation for bikeway improvements. Enders, who managed the collaborative project, said donations from Vistaprint and Friends of the Lexington Bikeway were also used for the map, which was designed by Russ Brami of Snowy Owl Maps. Copies of the map are available at public buildings in the three Minuteman Bikeway towns, and at www.minutemanbikeway.org.