Download presentation

Presentation is loading. Please wait.

1
GEOMETRY Circle Terminology

2
**Component of Geometry Point (dot) Line At least two points given**

Angle If two line intersect in a point Plane Something which has area Space something which boundary at least by two plane

3
**Circle Set of points which have same distance into one permanent point**

Same distance = radius = r Permanent point is central point

4
**Radius (or Radii for plural)**

The segment joining the center of a circle to a point on the circle. Example: OA adopted from

5
**Diameter d=2r A chord that passes through the center of a circle.**

Example: AB What is AO? What is OB? What is relation between radius and diameter? Radius Radius d=2r

6
Chord A segment joining two points on a circle Example: AB

7
**Chord A segment joining two points on a circle Example: AB**

AB= diameter So, what is relation between chord and diameter? Diameter is the longest chord

8
**Secant A line that intersects the circle at exactly two points.**

Example: AB

9
**Secant A line that intersects the circle at exactly two points.**

Example: AB

10
**Tangent A line that intersects a circle at exactly one point.**

Example: AB

11
**Central Angle An angle whose vertex is at the center of a circle.**

Example: Angle ABC

12
Inscribed Angle An angle whose vertex is on a circle and whose sides are determined by two chords. Example: Angle ABC

13
Arc A figure consisting of two points on a circle and all the points on the circle needed to connect them by a single path. Example: arc AB What is the longest arc? circumference

14
Intercepted Arc An arc that lies in the interior of an inscribed angle. Example: arc AC

15
**Two Intercepted Arc If angle is inside the circle. Example: arc AC**

arc DF

16
**Two Intercepted Arc If angle is outside the circle. Example: arc DE**

arc DC

17
**Apothem The shortest distance between center point and chord**

Example: OA A

18
**Segment Area which bordered by arc and chord**

Shaded area is minor segment Plain area is major segment O

19
**Sector Area which bordered by two radii and an arc**

Shaded area is minor sector Plain area is major sector O

20
Tangents of the circle

21
Requirements:- Compass Pencils Eraser Scale Set Square

22
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

23
Formation of tangent D P Circle Tangent Chord C Secant A B

24
**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

25
**When two circles do not touch**

A B E H P Q G F C D We construct four tangents AB,CD, EF & GH

26
**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

27
**When two circles intersect each other**

1st Tangent A B . . O O ! C 2nd Tangent D We can construct two tangents AB, CD

28
**When two circles touches internally**

P O O’ B We can construct only one tangents APB

29
**When two concurrent circles**

We can not construct any common tangent

30
**P is a point out side the circle you can construct two tangents passing through P**

Q P O R Tangent PQ = TangentPR

31
**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

32
**Constructing of incircle**

Steps of construction Construct a Δ 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

Similar presentations

OK

Circles Definitions. Infinite Unity No beginning No end Continuous The perfect shape.

Circles Definitions. Infinite Unity No beginning No end Continuous The perfect shape.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on nationalism in indochina Ppt on general electricity from waste materials Ppt on school life and college life Ppt on satellite orbit maps Ppt on seasons for grade 2 Ppt on carburetors Ppt on layers of the atmosphere Free ppt on dispersion of light Ppt on viruses and bacteria photos Ppt on disk formatting program