A microwave-cavity technique has been used to measure the time dependence of electron density in decaying plasmas. Applying the sawtooth voltage to the radially-movable probe and sampling the corresponding probe current, the authors have measured the radial density distribution of electrons at various stages of the afterglows within the range of 1 ms to 10 ms. The present measurements constitute the first observation of the radial density distribution of electrons in afterglows. From the observations, the characteristic diffusion lengths have been determined. A 2.8 GHz microwave radiometer was used to measure the electron temperature in the afterglows in order to confirm that electrons reach thermal equilibrium with neutral gas. The value of the mobility of atomic argon ions in argon gas, mu 01=1.67+or-0.13 cm2 V-1 s-1, calculated from the rate of electron loss by ambipolar diffusion, compares well with previously published data obtained using the mass spectrometric method and also is compared with those measured with the drift-tube technique. The conversion rate constant of atomic argon ions to molecular argon ions in a three-body reaction with two neutral argon atoms k=2.06+or-0.2 cm6 s-1, analysed from the variation of the measured decay rate of electrons with pressure, is compared with values obtained by other workers and a comparison is also made with the existing theoretical estimate.