Chapter 9 of 12
Revision Notes
Circles — Revision Notes
Madhya Pradesh Board · Class 9 · Mathematics
Circles revision notes for Madhya Pradesh Board Class 9 Mathematics: 4 topics in quick points. Includes 1 Angle Subtended by a Chord at a Point, 2.
43 questions23 flashcards5 concepts
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Key Topics to Revise
1
9.1 Angle Subtended by a Chord at a Point
- An angle subtended by a line segment PQ at point R is ∠PRQ, formed by joining P and Q to R
- Angle subtended by chord at centre is the angle formed by joining the endpoints of chord to the centre
- Longer chords subtend larger angles at the centre
2
9.2 Perpendicular from Centre to Chord
- Perpendicular from centre to any chord bisects the chord
- Line from centre that bisects a chord is perpendicular to that chord
- These are converse theorems of each other
3
9.3 Equal Chords and Distance from Centre
- Distance from point to line is the length of perpendicular from point to line
- Equal chords are equidistant from the centre
- Chords equidistant from centre are equal in length
4
9.4 Angle Subtended by Arc - Most Important for Exams
- Equal chords make congruent arcs and vice versa
- Angle at centre = 2 × angle at any point on circle (same arc)
- Angles in same segment are equal
Get complete notes with diagrams and examples
Full NotesKey Concepts
When a chord PQ is drawnWhen a perpendicular is drawn fromDistance of a chord from centerAn arc subtends an angle atAll angles subtended by same arc
Frequently Asked Questions
What are the important topics in Circles for Madhya Pradesh Board Class 9 Mathematics?
Key topics in Circles include 1 Angle Subtended by a Chord at a Point, 2 Perpendicular from Centre to Chord, 3 Equal Chords and Distance from Centre, 4 Angle Subtended by Arc - Most Important for Exams. Study these first, then practise questions on each for Class 9 exams.
How should I revise Circles for Class 9 exams?
Learn the core ideas first, then work through the 43 practice questions on Circles. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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