Skip to main content
Super TutorResources
Chapter 21 of 25
Chapter Summary

Circles — Chapter Summary

ICSE · Class 8 · Mathematics

Summary of Circles for ICSE Class 8 Mathematics. Key concepts: A circle is formed when, The fixed point inside and The length of the boundary.

61 questions28 flashcards6 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Circles? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.

Try Super Tutor — Free

Free trial, no card needed.

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?
Key topics in Circles include Basic Parts of a Circle, Position of Points: Interior, On the Circle, and Exterior, Arcs, Semicircle, Major Arc, and Minor Arc, Sector and Segment. Study these first, then practise questions on each for Class 8 exams.
How should I revise Circles for Class 8 exams?
Learn the core ideas first, then work through the 61 practice questions on Circles. Revise 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 ICSE Class 8 Mathematics Chapter Summary

For serious students

Get the full Circles chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 8 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free