Slope Stability Analysis is a fundamental aspect of concern and a challenging problem in geotechnical engineering. Slope stability analysis of an embankment is a crucial step in geotechnical engineering projects as it plays a critical role in ensuring the safety and functionality of the structure. The factor of safety values play a notable role in ensuring the safe design of structures, specifically in geotechnical engineering, as soil behaviour is intrinsically unpredictable. The traditional approach, which is the limit equilibrium method, has been widely used for slope stability analysis. However, the recent robust alternative technique, which is the finite element method, models a highly detailed and realistic simulation of soil with an unparalleled level of detail and accuracy. The present study employs the Swedish Slip Circle method, which is a limit equilibrium approach to calculate the factor of safety against rotational failure. In parallel, the PLAXIS 2D software is utilized to conduct the finite element analysis, providing a detailed understanding of soil behaviour. The basic objective of this theoretical study is to verify the different Factor of Safety (FOS) values calculated using the Swedish Slip Circle method, for different embankment slopes with the variation of shear parameters (c and ϕ). After calculating the FOS obtained by the Slip circle method, the results are verified using the Finite Element method (PLAXIS 2D).