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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.

Circles
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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.