Tangents of circle
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This presentation explains how to construct tangents to circles and the construction of incircles and circumcircles. It defines a tangent as a line that touches a circle at only one point, a chord as a line connecting two points on the circle, and a secant as a line intersecting the circle at two points. It provides steps for constructing tangents when circles intersect, touch internally or externally, or are concentric. It also gives the process for constructing a circumcircle around a triangle and the incircle inside a triangle.
Tangents of circle
- 2. Tangents of the circle Presented by Deepak Kumar
- 3. 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.
- 4. Requirements:- Compass Pencils Eraser Scale Set Square
- 5. 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
- 6. Formation of tangent A B Secant C D P Tangent Circle Chord
- 7. 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
- 8. A B C D E F G H P Q We construct four tangents AB , CD , EF & GH When two circles do not touch
- 9. 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
- 10. 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
- 11. A B O O’ When two circles touches internally We can construct only one tangents APB P
- 12. When two concurrent circles O O’ We can not construct any common tangent
- 13. P P is a point out side the circle you can construct two tangents passing through P O Q R Tangent PQ = Tangent PR
- 14. 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.
- 15. 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