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# Tangents of circle

## on Oct 07, 2010

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Deepak Kumar

Deepak Kumar
www.dksharma.co.cc
www.dkumar.co.cc

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## Tangents of circlePresentation Transcript

•
• Tangents of the circle Presented by Deepak Kumar
• Objectives
• This presentation explains:
• Types of Tangents.
• Construction of tangents.
• Construction of incircle.
• Construction of circumcircle
This project will help students understand the concept of tangents and how they are constructed.
• Requirements:-
• Compass
• Pencils
• Eraser
• Scale
• Set Square
• If line touches the circle at one point only that is called a tangent
• If line connect the two point at the circle that is called a chord
• If line intersect the circle at two point that is called secant
Tangent Chord Secent
• Formation of tangent A B Secant C D P Tangent Circle Chord
• A P B is called a tangent to the circle
• The touching point P is called the point of contact.
C A B P Defination of tangents
• A B C D E F G H P Q We construct four tangents AB , CD , EF & GH When two circles do not touch
• A
• B
C D O O ’ . . We can construct three tangents APB , CQD , PRQ When two circles touches externally P Q 1 st Tangent 2 nd Tangent 3 rd Tangent R
• When two circles intersect each other A B C D 1 st Tangent 2 nd Tangent O O ! . . We can construct two tangents AB , CD
• A B O O’ When two circles touches internally We can construct only one tangents APB P
• When two concurrent circles O O’ We can not construct any common tangent
• P P is a point out side the circle you can construct two tangents passing through P O Q R Tangent PQ = Tangent PR
• A B C o Constructing Circumcircle Steps of Construction Construct a Δ ABC Bisect the side AB Bisect the side BC The two lines meet at O From O Join B Taking OB as radius draw a circumcircle.
• A B C Constructing of incircle Steps of construction Construct a Δ ABC The two lines meet at O Taking OP as radius Draw a circumcircle O P Bisect the ABC Bisect the BAC Taking O draw OP AB