circles, Chords and Tangents

The Circles, Chords, and Tangents course by Dariji Education takes learners deep into one of the most important geometry topics in Form 3 Mathematics. This unit explores the fundamental properties of circles and how chords, tangents, radii, and arcs relate to one another through various geometric theorems.

Students begin by understanding the structure of a circle, including key terms such as center, radius, diameter, chord, arc, sector, and segment. The course then introduces important theorems like the tangent–radius theorem (a tangent is perpendicular to the radius at the point of contact), the angle at the center and circumference theorem, the angle in a semicircle, and cyclic quadrilaterals. Each theorem is carefully explained using clear diagrams and real-life applications to ensure learners not only memorize but also understand how and why these relationships hold true.

Learners are guided through step-by-step examples showing how to apply these theorems in solving both direct and reasoning-based questions. Practice exercises and exam-style problems help strengthen critical thinking, geometric reasoning, and logical proof-writing skills.

At Dariji Education, our expert tutors simplify complex geometric concepts into easy, engaging lessons that encourage understanding rather than rote learning. Whether you’re preparing for KCSE, IGCSE, or simply seeking to improve your mathematical reasoning, this course provides a solid foundation for higher-level geometry and future studies in mathematics and engineering-related fields.

By the end of the course, learners will be able to confidently solve circle geometry problems, state and prove key theorems, and apply them accurately in examinations and practical situations.