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We show that the enclosure method introduced here is applicable to inverse scattering problems in two dimensions. Using the single set of the Cauchy data of a solution of the Helmholtz equation, we give some formulae for extracting the value of the support functions of unknown sound-hard polygonal obstacles and piecewise linear cracks from the set. AMS: 35R30doi:10.1088/0266-5611/20/2/014 fatcat:u2ytcq4p7ra43kq7eorrjgsvbq