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Tangents of circle

Tangents of circle



Deepak Kumar

Deepak Kumar



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    Tangents of circle Tangents of circle Presentation 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