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.
Key Topics to Revise
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
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
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
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
Get complete notes with diagrams and examples
Full NotesKey Concepts
Get detailed revision notes for Circles
Super Tutor gives you interactive content for every chapter of Gujarat Board Class 9 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently 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.
More Resources for Circles
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually