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Circles

Meghalaya Board · Class 9 · Mathematics

Complete topic list for Circles in Meghalaya Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

43 questions23 flashcards5 concepts

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Illustrates a circle with a chord PQ and points R and S on the major and minor arcs respectively. Shows the angle subtended by the chord at the center (POQ), and at points on the major arc (PRQ) and m
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4 Topics · Meghalaya Board Class 9 Mathematics

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

Frequently Asked Questions

What are the important topics in Circles for Meghalaya Board Class 9 Mathematics?
Circles covers several key topics that are frequently asked in Meghalaya Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Circles — Meghalaya Board Class 9 Mathematics?
Understand the core concepts first, then work through the 43 practice questions available for this chapter. Revise formulas and 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 12 chapters — Meghalaya Board Class 9 Mathematics Syllabus

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