Tangents of the circle
Shivshankar Choudhary
And
Ram Singh
Objectives
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Types of Tangents.
Construction of tangents.
Construction of incircle.
Construction of circumcircle
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Requirements:-
Compass
Pencils
Eraser
Scale
Set Square
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Formation of tangent
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The touching point
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Acknowledgment
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This project explores the concepts of tangents, construction of incircle, circumcircle, different types of tangents, and their construction methods using compass, pencils, eraser, scale, and set square. Learn about tangents, chords, secants, formation of tangents, definitions, scenarios when circles touch, intersect, or do not touch, and how to construct tangents accordingly.
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Presentation Transcript
Tangents of the circle Presented by Shivshankar Choudhary And Ram Singh
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
Tangent Chord Secent 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
Formation of tangent D P Circle Tangent Chord C Secant A B
Defination of tangents APB is called a tangent to the circle The touching point P is called the point of contact. A P C B
When two circles do not touch A B E H P Q G F C D We construct four tangentsAB,CD, EF & GH
When two circles touches externally 3rd Tangent 1st Tangent A P B . . R O O C Q 2nd Tangent D We can construct three tangents APB, CQD, PRQ
When two circles intersect each other 1st Tangent A B O . O! . C 2nd Tangent D We can construct two tangents AB, CD
When two circles touches internally A P O O B We can construct only one tangents APB
When two concurrent circles O O We can not construct any common tangent
Pis a point out side the circle you can construct two tangents passing throughP Q P O R Tangent PQ = TangentPR
Constructing Circumcircle Steps of Construction C Construct a ABC Bisect the side AB Bisect the side BC o The two lines meet at O From O Join B B Taking OB as radius draw a circumcircle. A
Constructing of incircle C Steps ofconstruction Construct a ABC Bisect the BAC Bisect the ABC O The two lines meet at O Taking O draw OP AB Taking OP as radius Draw a circumcircle A B P
Acknowledgment Thanks to Prasenjeet sir Microsoft IT Academy
This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com Is home to well over a thousand powerpoints submitted by teachers. This a free site. Please visit and I hope it will help in your teaching
