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Revision Notes

Circles

Gujarat Board · Class 9 · Mathematics

Quick revision notes for Circles — Gujarat Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards5 concepts

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Key Topics to Revise

1

Angle Subtended by a Chord at a Point

  • The angle subtended by a line segment PQ at point R is ∠PRQ
  • Equal chords of a circle subtend equal angles at the centre
  • If angles subtended by chords at the centre are equal, then the chords are equal
2

Perpendicular from Centre to Chord

  • The perpendicular from the centre of a circle to a chord bisects the chord
  • The line from the centre that bisects a chord is perpendicular to the chord
  • Distance from centre to chord is the perpendicular distance
3

Equal Chords and Distance from Centre

  • Equal chords of a circle are equidistant from the centre
  • Chords equidistant from centre are equal in length
  • Distance is measured as perpendicular distance
4

Angle Subtended by Arc at Centre and on Circle

  • Congruent arcs subtend equal angles at the centre
  • Equal chords correspond to congruent arcs
  • Angle at centre = 2 × angle at any point on remaining circle

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Full Notes

Key Concepts

When a chord PQ is drawnWhen a perpendicular is drawn fromEqual chords of a circleThe angle subtended by an arcAll angles subtended by the same

Frequently Asked Questions

What are the important topics in Circles for Gujarat Board Class 9 Mathematics?
Circles covers several key topics that are frequently asked in Gujarat 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 — Gujarat Board Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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 — Gujarat Board Class 9 Mathematics Revision Notes

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