This paper presents an interdisciplinary scoping review of literature on trust and trust repair in human-robot interaction (HRI), focusing on social and service robots. The primary aim is to provide a comprehensive analysis of trust in social robotics and the methodologies for measuring trust within HRI. Distinct from prior reviews, this work delves into both trust models and trust measurement methods highlighting the complex nature of trust. This study assesses trust repair strategies, including promises and explanations, in different contexts. It also investigates scenarios of compromised trust and explores both communicative and proactive repair approaches. Finally, the paper presents nine key design principles such as safety, transparency, apology mechanism etc., derived from the reviewed literature, as guidelines for the development of social and service robots. These principles provide researchers with a path for creating robots that can build and maintain trust, particularly when they are making mistakes and need to correct them.