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Chapter Summary

Circles

ICSE · Class 8 · Mathematics

Summary of Circles for ICSE Class 8 Mathematics. Key concepts, important points, and chapter overview.

61 questions28 flashcards5 concepts

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Overview

A circle is a plane figure formed when a point moves so that it stays at the same distance from a fixed point. The fixed point is the centre, the constant distance is the radius, and the boundary is the circumference. The chapter builds the basic language of circles, classifies parts such as chords,

Key Concepts

A circle is formed when

A circle is formed when a point moves in such a way that it is always at the same distance from a fixed point.

The fixed point inside the circle

The fixed point inside the circle is the centre, and the fixed distance from the centre to any point on the circle is the radius. The radius is often

The length of the boundary

The length of the boundary of a circle is called its circumference.

A chord joins any two points

A chord joins any two points on the circumference. A diameter is a chord that passes through the centre. Diameter is the longest chord of the circle.

Diameter = 2 × radius

Diameter = 2 × radius and radius = diameter/2.

Learning Objectives

  • Identify the centre, radius, circumference, chord, diameter, arc, sector, segment, tangent, and point of contact.
  • Distinguish between interior, exterior, and boundary points of a circle.
  • Classify arcs as semicircle, minor arc, or major arc.
  • Classify circle parts as minor sector, major sector, minor segment, and major segment.
  • Use the fact that a tangent is perpendicular to the radius at the point of contact.

Frequently Asked Questions

What are the important topics in Circles for ICSE Class 8 Mathematics?
Circles covers several key topics that are frequently asked in ICSE Class 8 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 — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 61 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 25 chapters — ICSE Class 8 Mathematics Chapter Summary

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