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10. CIRCLES

This chapter explores the properties and characteristics of tangents to circles, defining tangents as lines that touch the circle at a single point. It establishes that the tangent is perpendicular to the radius at the point of contact and examines the conditions under which tangents can be drawn from points both inside and outside the circle. Various activities and examples illustrate these concepts and highlight the equal lengths of tangents from an external point.

Sections

  • 10

    Circles

    This section explores the properties of circles, specifically focusing on the concept of tangents and their relationship to radius and secants.

  • 10.1

    Introduction

    This section introduces the concept of a circle and explores the relationship between a circle and lines, specifically focusing on tangents and secants.

  • 10.2

    Tangent To A Circle

    This section defines tangents to circles, exploring their properties and existence.

  • 10.3

    Number Of Tangents From A Point On A Circle

    This section discusses how many tangents can be drawn from different positions relative to a circle: inside, on, or outside the circle.

  • 10.4

    Summary

    This section outlines the main properties of tangents to a circle.

Class Notes

Memorization

What we have learnt

  • A circle consists of points...
  • Tangents intersect a circle...
  • The length of tangents draw...

Final Test

Revision Tests

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