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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.

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Presentation Transcript
slide1

Tangents of the circle

Presented by

Shivshankar Choudhary

And

Ram Singh

objectives
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
Requirements:-
  • Compass
  • Pencils
  • Eraser
  • Scale
  • Set Square
slide4

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

Circle

Chord

Formation of tangent

D

P

Tangent

C

Secant

A

B

slide6

Defination of tangents

APB is called a tangentto the circle

The touching point P is called the point of contact.

A

P

C

B

slide7

When two circles do not touch

A

B

E

H

P

Q

G

F

C

D

We construct four tangentsAB,CD, EF & GH

slide8

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
When two circles intersect each other

1st Tangent

A

B

.

.

O

!

O

C

2nd Tangent

D

We can construct two tangents AB, CD

slide10

When two circles touches internally

A

P

O

O’

B

We can construct onlyone tangents APB

when two concurrent circles
When two concurrent circles

O’

O

We can not construct any common tangent

slide12

Pis a point out side the circle you canconstruct twotangents passing throughP

Q

P

O

R

Tangent PQ = TangentPR

slide13

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

slide14

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

acknowledgment
Acknowledgment

Thanks to Prasenjeet sir

Microsoft IT Academy

Govt. of Rajasthan

slide16

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

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