In this thesis, we will discuss the techniques for determining distances, velocities, and angular position of targets using a frequency-modulated continuous-wave (FMCW) radar. FMCW radars have applications such as collision detection and assisted cruise control in modern vehicles, due to their ability to be manufactured as low-power, single-chip systems. We will discuss the use of a two-dimensional fast Fourier transform to efficiently compute the Doppler-range bins for a linear FMCW. A rudimentary geometric approach to angle estimation will then be discussed, followed by a look at the multiple signal classification (MUSIC) approach for angle estimation. Finally, we present the results of a simulated FMCW radar system with ideal targets for a variety of configurable system parameters.