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Chapter 17 of 28
Syllabus

Circle

ICSE · Class 9 · Mathematics

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

45 questions20 flashcards5 concepts
4 Topics · ICSE Class 9 Mathematics

Topics in Circle

1

Basic Definitions and Components

  • A circle is the locus of all points in a plane that are at a fixed distance from a fixed point
  • The fixed point is called the centre and the fixed distance is called the radius
  • Circumference is the perimeter of the circle
2

Special Types of Circles and Polygons

  • Concentric circles have the same centre but different radii
  • Equal or congruent circles have equal radii
  • A circumscribed circle passes through all vertices of a polygon
3

Arcs, Segments, and Sectors

  • An arc is a part of the circumference of a circle
  • Minor arc is smaller than semicircle, major arc is larger than semicircle
  • When both arcs are equal, each is called a semicircle
4

Chord Properties and Theorems

  • Theorem 22: A line from centre to bisect a chord (not diameter) is perpendicular to the chord
  • Theorem 23: A perpendicular from centre to a chord bisects the chord
  • Greater chord is closer to centre, smaller chord is farther from centre

Key Concepts

A circle is a closed curvePoints can be classified asConcentric circles have the same centreArc is part of circumferenceTheorem 22

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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.

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.