Skip to main content
Super TutorResources
Chapter 6 of 12
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Circles

Karnataka Board · Class 9 · Mathematics

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

45 questions20 flashcards5 concepts

Interactive on Super Tutor

Studying Circles? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 9 students started this chapter today

4 Topics · Karnataka Board Class 9 Mathematics

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

Frequently Asked Questions

What are the important topics in Circles for Karnataka Board Class 9 Mathematics?
Circles covers several key topics that are frequently asked in Karnataka 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 — Karnataka 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.

More resources for Circles

All 12 chapters — Karnataka Board Class 9 Mathematics Syllabus

For serious students

Get the full Circles chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Karnataka Board Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free