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We use the finite lattice method to calculate the radius of gyration, thefirst and second area-weighted moments of self-avoiding polygons on the squarelattice. The series have been calculated for polygons up to perimeter 82.Analysis of the series yields high accuracy estimates confirming theoreticalpredictions for the value of the size exponent, $\nu=3/4$, and certainuniversal amplitude combinations. Furthermore, a detailed analysis of theasymptotic form of the series coefficients provide the firmest evidence to datefor the existence of a correction-to-scaling exponent, $\Delta = 3/2$.Comment: 12 pages 3 figure

Size and area of square lattice polygons