Chapter 9 of 12
Syllabus
Circles — Syllabus
Gujarat Board · Class 9 · Mathematics
What Circles covers in Gujarat Board Class 9 Mathematics: 4 topics, for the 2026-27 session. Part of the Gujarat Board Class 9 Mathematics syllabus.
45 questions20 flashcards5 concepts
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4 Topics · Gujarat Board Class 9 Mathematics · 2026-27
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
Work through every topic in Circles with notes and quizzes
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What are the important topics in Circles for Gujarat Board Class 9 Mathematics?
Key topics in Circles include Angle Subtended by a Chord at a Point, Perpendicular from Centre to Chord, Equal Chords and Distance from Centre, Angle Subtended by Arc at Centre and on Circle. 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 45 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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