Each municipality and county in the state is authorized to create one or more recreation districts comprising the whole of or any part of the territory of said municipality and by counties only in the unincorporated areas of each county. Each such district shall be established by ordinance approved by a vote of the electors in the district in accordance with s. 165.041. Such ordinance, as it may from time to time be amended by the governing body of said municipality or county and approved by a vote of the electors in the district, shall constitute the charter of the recreation district. The electors residing in a proposed district may petition the governing body of the city or county to create a recreation district. If a majority of electors has signed the petition, no referendum shall be required to create the district.