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Revision Notes

Circle

ICSE · Class 9 · Mathematics

Quick revision notes for Circle — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

37 questions24 flashcards5 concepts

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A labeled diagram illustrating the fundamental components of a circle, including the center, radius, diameter, chord, and circumference.
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Key Topics to Revise

1

1. Basic Ideas of a Circle

  • A circle is the figure formed by all points in a plane that are at the same fixed distance from a fixed point.
  • The fixed point is called the centre.
  • The fixed distance is called the radius.
2

2. Position of Points and Types of Circles

  • A point is exterior if its distance from the centre is greater than the radius.
  • A point is interior if its distance from the centre is less than the radius.
  • A point lies on the circumference if its distance from the centre is equal to the radius.
3

3. Arc, Segment and Sector

  • An arc is a part of the circumference.
  • If two arcs are unequal, the smaller arc is the minor arc and the bigger one is the major arc.
  • A minor arc is always smaller than a semicircle.
4

4. Chord Theorems and Distance from the Centre

  • A straight line drawn from the centre to bisect a chord that is not a diameter is perpendicular to the chord.
  • The perpendicular from the centre to a chord bisects the chord.
  • Greater is the size of a chord, smaller is its distance from the centre, and vice-versa.

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Full Notes

Key Concepts

A circle is the setA chord is a line segmentTwo or more circles withAn arc is a partA segment is the part

Frequently Asked Questions

What are the important topics in Circle for ICSE Class 9 Mathematics?
Circle covers several key topics that are frequently asked in ICSE 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 Circle — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 37 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 28 chapters — ICSE Class 9 Mathematics Revision Notes

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