The article studies some methods to calculate the effective elastic moduli of materials in 2D with spring-layer imperfect interfaces. Based on the polarisation approximation method (PA), this work develops a new formula to compute the macroscopic elastic moduli (MEM) of the randomly circular inclusion model with the spring-layer (S-L) imperfect interface model. From that, the obtained algebraic expressions are simple and effective tools for estimating the effective moduli of the random circle-inclusion model with the S-L imperfect interface model. The FFT simulation method is constructed to determine the effective moduli of this model. Besides that, the differential approximation (DA) also builds differential equations to compute the effective moduli of the random circle-inclusion model with the S-L imperfect interface. The FFT simulation results are compared with DA and PA approximation methods to show the reliability of the methods.