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Chapter Summary

Circle

ICSE · Class 9 · Mathematics

Summary of Circle for ICSE Class 9 Mathematics. Key concepts, important points, and chapter overview.

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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Overview

A circle is a closed curve formed by all points in a plane that are at the same fixed distance from a fixed point. The fixed point is the centre and the fixed distance is the radius. The perimeter of the circle is called its circumference. A chord joins any two points on the circumference, and a dia

Key Concepts

A circle is the set

A circle is the set of all points at the same fixed distance from a fixed point. The fixed point is the centre, the fixed distance is the radius, and

A chord is a line segment

A chord is a line segment joining any two points on the circumference. A diameter is a chord through the centre. It is the largest chord and equals tw

Two or more circles with

Two or more circles with the same centre but different radii are concentric circles. Circles with equal radii are equal circles, also called congruent

An arc is a part

An arc is a part of the circumference. The smaller of two unequal arcs is the minor arc, and the larger is the major arc. By convention, an unqualifie

A segment is the part

A segment is the part of a circle bounded by an arc and a chord. A sector is the region bounded by an arc and two radii to its endpoints. The centre l

Learning Objectives

  • Understand the meaning of a circle, centre, radius, chord, diameter, arc, segment, and sector.
  • Distinguish between minor and major arcs, segments, and sectors.
  • Use theorems about chords and their distance from the centre.
  • Apply the converse results related to perpendiculars and bisectors in circles.
  • Understand properties of equal chords, equal arcs, and intersecting circles.

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.

More resources for Circle

All 28 chapters — ICSE Class 9 Mathematics Chapter Summary

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