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Tangents of the Circle

Tangents of the Circle. 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

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Tangents of the Circle

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  1. Tangents of the Circle www.assignmentpoint.com

  2. 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. www.assignmentpoint.com

  3. Requirements:- • Compass • Pencils • Eraser • Scale • Set Square www.assignmentpoint.com

  4. 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 www.assignmentpoint.com

  5. Circle Chord Formation of tangent D P Tangent C Secant A B www.assignmentpoint.com

  6. Defination of tangents APB is called a tangentto the circle The touching point P is called the point of contact. A P C www.assignmentpoint.com B

  7. When two circles do not touch A B E H P Q G F C D We construct four tangentsAB,CD, EF & GH www.assignmentpoint.com

  8. 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 www.assignmentpoint.com

  9. When two circles intersect each other 1st Tangent A B . . O ! O C 2nd Tangent D We can construct two tangents AB, CD www.assignmentpoint.com

  10. When two circles touches internally A P O O’ B We can construct onlyone tangents APB www.assignmentpoint.com

  11. When two concurrent circles O’ O We can not construct any common tangent www.assignmentpoint.com

  12. Pis a point out side the circle you canconstruct twotangents passing throughP Q P O R Tangent PQ = TangentPR www.assignmentpoint.com

  13. Constructing Circumcircle Steps of Construction C Construct a Δ 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 www.assignmentpoint.com

  14. Bisect the BAC Bisect the ABC Taking O draw OP AB Constructing of incircle C Steps ofconstruction Construct a Δ ABC O The two lines meet at O Taking OP as radius Draw a circumcircle A B P www.assignmentpoint.com

  15. Acknowledgment Thanks to Prasenjeet sir Microsoft IT Academy Govt. of Rajasthan www.assignmentpoint.com

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