Tangent To A Circle
Chapter Name : Circles |
Sub Topic Code : 104_10_10_02_02 |
Topic Name : Tangent To A Circle |
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Sub Topic Name : Activity 1 & 2 |
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Introduction
There is only one tangent for any point on the circle. It is perpendicular to the radius at the point of contact. Only 2 tangents can exist parallel to a given secant.
Pre-Requisites:
Meaning of tangents, chord and secant
Activity:
By placing a toothpick tangent to a circle and placing more toothpicks parallel to it, observe that there can exist only 2 tangents parallel to a given secant.
Real Life Question:
What objects in real life have the outlines with parallel tangents?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Circle | A collection of points in a plane from a common center and distance. |
| Secant | A line intersecting a circle at 2 points. |
| Tangent | A line that intersects the circle at one point. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Paper and toothpicks | Concepts of tangents and its relationship with secants can be seen. |
Real life uses :
In geometrical applications.
Practical examples around us
| Examples | Explainations |
|---|---|
| Pulley with a rope running along it | Opposite sides of the rope act as parallel tangents. |
What you learn in Theory:
Theorems related to tangents of a circle.
What you learn in Practice:
Activities proving the theorems related to tangents of a circle.