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Study Chapter 09 Circle in NCERT Class 9 Mathematics
This part of NCERT Book Class 9 Maths Circles Questions helps you learn Class 9 Mathematics step by step. Read the text to understand everything. You can also match your answers using the NCERT Solutions for Class 9 Mathematics.
Download Chapter 09 Circle - NCERT Class 9 Textbook
(A) Main Concepts and Results
Circle, radius, diameter, chord, segment, cyclic quadrilateral.
• Equal chords of a circle (or of congruent circles) subtend equal angles at the centre,
• If the angles subtended by the chords of a circle (or of congruent circles) at the centre (or centres) are equal, then the chords are equal,
• The perpendicular drawn from the centre of the circle to a chord bisects the chord,
• The line drawn through the centre of a circle bisecting a chord is perpendicular to the chord,
• There is one and only one circle passing through three given non-collinear points,
• Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres),
• Chords equidistant from the centre of a circle are equal in length,
• If two chords of a circle are equal, then their corresponding arcs are congruent and conversely, if two arcs are congruent, then their corresponding chords are
equal,
• Congruent arcs of a circle subtend equal angles at the centre,
• The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle,
• Angles in the same segment of a circle are equal,
• If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, then the four points are concyclic,
Please refer to attached file for NCERT Class 9 Maths Circles Questions
Free study material for Mathematics
Download NCERT E-Textbook: Class 9 Mathematics Chapter 09 Circle
Chapter Textbook PDF for Class 9 Mathematics
Access the authorized NCERT Textbook for Class 9 Mathematics Chapter 09 Circle, revised for the current academic year. Recognized as the core reading material across schools nationwide, educators strongly recommend the Chapter 09 Circle e-textbook since board evaluations for Class 9 derive entirely from its syllabus guidelines. Easily download the complete chapter file in a convenient PDF format right here.
Download Mathematics Class 9 E-Books in English
Access a full archive of NCERT books in English Medium tailored for Class 9 courses. Essential for English-medium students, modules like Chapter 09 Circle deliver in-depth concepts and thorough review questions at the section close. Simply select the provided links to secure your free Mathematics textbook PDF and begin learning immediately.
Why Study from Class 9 Mathematics E-Books?
The Class 9 Mathematics Chapter 09 Circle book is designed to provide a strong conceptual understanding. Students should also access NCERT Solutions and revision notes on our platform to enhance their learning experience.
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