Study Chapter Details
UP Board Class 9 Maths Book – Circles
The chapter “Circles” in the UP Board Class 9 Maths Book introduces students to one of the most important topics in geometry. A circle is defined as the collection of all points in a plane that are equidistant from a fixed point called the center. This chapter helps students understand the fundamental properties and theorems related to circles, including concepts like radius, diameter, chord, tangent, and secant.
Students learn about equal chords and their distances from the center, perpendiculars from the center to a chord, and the angle subtended by an arc at the center and at the circumference. The chapter also explains cyclic quadrilaterals and tangents to a circle, which form the basis for higher-level geometry problems.
The content in the UP Board Class 9 Maths Book follows the NCERT-based syllabus, ensuring conceptual clarity through diagrams, examples, and practice questions. By studying this chapter, students strengthen their logical reasoning, geometrical understanding, and problem-solving skills — essential for board exams and future mathematics studies.
