The weak mixing angle has been measured from the charge asymmetry of hadronic events with two different approaches using the DELPHI detector at LEP. Both methods are based on a momentum-weighted charge sum to determine the jet charge in both event hemispheres. In a data sample of 247 300 multihadronic Z 0 decays a charge asymmetry of 〈 Q F 〉 − 〈 Q B 〉 = −0.0076±0.0012(stat.)±0.0005(exp. syst.)±0.0014(frag.) and a raw forward-backward asymmetry of A raw FB = −0.0109±0.0020(stat.)±0.0010(exp. syst.)±0.0017(frag.) have been measured. This result corresponds to a value of sin θ eff =0.2345±0.0030(exp.)±0.0027(frag.), sin 2 θ MS =0.2341±0.0030( exp. )±0.0027( frag. ) and to sin 2 θ W =1− m 2 W / m 2 Z =0.2299± 0.0030(exp.)±0.0027(frag.)±0.0028(theor.). The experimental error is the quadratic sum of the statistical and the experimental systematic error and the theoretical error originates from a value of m t =130±40 GeV/ c 2 and a range of m H from 45 GeV/ c 2 to 1000 GeV/ c 2 .