This comprehensive LaTeX resource on Central and Inscribed Angles is suitable for students in Grades 8–11, particularly those following GCSE, IGCSE, O-Level, Edexcel, Cambridge, Pearson, AQA, OCR, IB MYP, and other international mathematics curricula. The material introduces the fundamental concepts of central angles, inscribed angles, and intercepted arcs through precise definitions and professionally drawn TikZ diagrams. It includes a rigorous geometric theorem with a complete proof, construction, and logical reasoning, helping students build strong deductive and problem-solving skills. Multiple examination-style examples with detailed solutions demonstrate how the theorem is applied in practice. Written in high-quality LaTeX, this resource is ideal for teachers, tutors, homeschoolers, curriculum developers, and students seeking a deeper understanding of circle geometry. It can be used as classroom notes, supplementary reading, revision material, worksheets, or a textbook companion for geometry courses.