Chapter 6 of 12
Syllabus
Circles — Syllabus
Karnataka Board · Class 9 · Mathematics
What Circles covers in Karnataka Board Class 9 Mathematics: 4 topics, for the 2026-27 session. Part of the Karnataka Board Class 9 Mathematics syllabus.
45 questions20 flashcards5 concepts
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4 Topics · Karnataka Board Class 9 Mathematics · 2026-27
Topics in Circles
1
Angle Subtended by a Chord at a Point
- The angle subtended by a chord at the center is called the central angle
- Equal chords subtend equal angles at the center
- If angles subtended by chords at center are equal, then chords are equal
2
Perpendicular from Center to Chord
- Perpendicular from center to chord bisects the chord
- Line from center bisecting a chord is perpendicular to the chord
- Distance from center to chord is the perpendicular distance
3
Equal Chords and Distance from Center
- Equal chords are equidistant from center
- Chords equidistant from center are equal
- Distance is measured as perpendicular distance
4
Angle Subtended by Arc - Inscribed Angle Theorem
- Angle at center = 2 × angle at circumference (same arc)
- Angles in same segment are equal
- Angle in semicircle is 90°
Key Concepts
When a chord PQ is drawnThe perpendicular from the centerEqual chords of a circleThe angle subtended by an arcAll angles subtended by the same
Work through every topic in Circles with notes and quizzes
Start This ChapterFrequently Asked Questions
What are the important topics in Circles for Karnataka Board Class 9 Mathematics?
Key topics in Circles include Angle Subtended by a Chord at a Point, Perpendicular from Center to Chord, Equal Chords and Distance from Center, Angle Subtended by Arc - Inscribed Angle Theorem. 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
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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