Reconfigurable Intelligent Surfaces (RIS) are flat structures equipped with electronic circuitry, enabling precise control over the directionality of electromagnetic signals. This technology has the potential to significantly enhance signal quality and increase effective data rates in wireless communications. While the benefits of RIS-assisted networks have been explored in various scenarios, certain aspects of network design, such as coverage and optimal RIS placement, often require intricate optimization and numerical simulations due to the challenging predictability of achievable effective rates. This complexity is further heightened when considering phase estimation errors and location uncertainty, as overlooking these factors can result in substantial performance degradation. This paper specifically focuses on a ring-shaped RIS-assisted wireless network with randomly distributed receivers and investigates the effective rate while considering these impairments. Additionally, precise closedform expressions for the effective rate are derived using Meijer’s G-function. The analysis underscores the critical importance of accounting for location and phase estimation uncertainty in the deployment of RIS, providing valuable insights for future network design and performance prediction. This research contributes to the advancement of RIS-assisted wireless communication systems by addressing key challenges associated with realistic deployment scenarios and improving the accuracy of performance assessments.