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Circles

Gujarat Board · Class 9 · Mathematics

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

45 questions20 flashcards5 concepts

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4 Topics · Gujarat Board Class 9 Mathematics

Topics in Circles

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

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?
Understand the core concepts first, then work through the 45 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 — Gujarat Board Class 9 Mathematics Syllabus

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