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Syllabus

Circles — Syllabus

Madhya Pradesh Board · Class 9 · Mathematics

What Circles covers in Madhya Pradesh Board Class 9 Mathematics: 4 topics, for the 2026-27 session. Topics include 1 Angle Subtended by a Chord.

43 questions23 flashcards5 concepts

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Illustrates a circle with a chord and a line segment drawn from the center perpendicular to the chord. Shows that this perpendicular line bisects the chord into two equal parts.
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4 Topics · Madhya Pradesh Board Class 9 Mathematics · 2026-27

Topics in Circles

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

Key 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

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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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All Madhya Pradesh Board Class 9 Mathematics Syllabus

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