We present a combined theoretical and experimental study of gravity-capillary waves generated by a disk oscillating vertically about the horizontal water surface. The theory predicts the radial propagation and decay of surface waves by incorporating fluid viscosity and surface elasticity. Lab- oratory experiments were conducted to measure the surface elevation using the synthetic Schlieren method and separately using a confocal displacement sensor. The results show that viscosity and elasticity have minor impact on the wavelength of radiating waves and major impact on the ampli- tude of the decaying waves in the far field. Viscosity dampens the waves to decay exponentially at a rate that depends sensitively on the surface elasticity. The findings may serve as a foundation for studying the range of perception and communication by various organisms on the water surface.