circle untuk kelas 8
DESCRIPTION
TRANSCRIPT
![Page 1: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/1.jpg)
MATHEMATICSMATHEMATICS
STANDARDSTANDARD: VI: VI
Bombay Cambridge GurukulBombay Cambridge Gurukul
CircleCircle
![Page 2: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/2.jpg)
S
Radiu
s OM
Centre
M
Chord PQ
P
ED
Q
G Arc R
E
O
F
Diameter DE
Circle in daily lifeCircle in musicCircle in sportsCircleCentreCircumferenceCircular regionRadiusDiameterChordArcSemicircleSegments of a circleCrossword
![Page 3: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/3.jpg)
A circle
BACK
![Page 4: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/4.jpg)
Many musical instruments have a circular surface.
For example:
Bingo Drum Tabla
Snare Drum Bass DrumBACK
![Page 5: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/5.jpg)
Five rings in the logo of Olympic gamesBACK
A circle
![Page 6: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/6.jpg)
A circle can be drawn with the help of a circular object.For example: A circle drawn with the help of a coin.
A circle is a closed curve in a plane.
BACK
![Page 7: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/7.jpg)
This fixed point (equidistant) inside a circle is called centre.
A circle is a closed curve consisting of all points in a plane which are at the same distance (equidistant) from a fixed point inside it.
OCentre
A circle
A circle has one and only one centre.
BACK
![Page 8: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/8.jpg)
The distance around a circle is called its circumference.
O
CentreA circle
A
BACK
![Page 9: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/9.jpg)
A circle divides a plane into three parts.
2. Interior of a circle
3. Exterior of a circle
A plane
O
Centre
The interior of a circle together with its circumference is called the circular region.
1. The circle
BACK
![Page 10: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/10.jpg)
Radiu
s
A line segment that joins any point on the circle to its centre is called a radius.
MA point on the circle
CentreO
(Contd…)
![Page 11: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/11.jpg)
Radii ( plural of radius) of a circle are equal in length.
Infinite number of radius can be drawn in a circle.
Radiu
s
Centre
K
O
L
M
N
(Contd…)
BACK
![Page 12: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/12.jpg)
Diameter AB
A line segment that joins any two points on the circle and passes through its centre is called a diameter.
A
B
A circleO Centre
(Contd…)
![Page 13: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/13.jpg)
A circle
O
M
Infinite number of diameters can be drawn in a circle.
As the radii of a circle are equal in length, its diameters too are equal in length.
B
Q
(Contd…)
Centre
P
A
N
![Page 14: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/14.jpg)
The length of the diameter of a circle is twice the length of its radius.
Radius OM
Centre
MO
NRadius ON
Diameter MN
Diameter MN = Radius OM + Radius ON Radius OM = Radius ON
(Contd…)
BACK
![Page 15: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/15.jpg)
A line segment that joins any two points on the circle is called a chord.
O
BA
A is a point on the circle
B is another point on the circle
A line segment that joins point A and B
Chord
![Page 16: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/16.jpg)
Diameter is also a chord of the circle.
O
Chord CDC D
M
N
K
L
Chord MN
Chord KL
(Contd…)
Diameter CD
![Page 17: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/17.jpg)
The diameter is the longest chord.
O
Diameter CDC D
M NChord MN
(Contd…)
C D
M N
Chord KLLK
![Page 18: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/18.jpg)
LK
M NChord MN
O Centre
Infinite number of chords can be drawn in a circle.
Chord KL
Chord GH
G
H
BACK
![Page 19: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/19.jpg)
O
Centre
An arc is the distance between any two points on the circumference of a circle.
K L
(Contd…)
![Page 20: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/20.jpg)
O
Centre
LK
An arc is named by three points, of which two are the end points of the arc and the third one lies in between them.
XNaming an arc
(Contd…)
Arc KXL
![Page 21: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/21.jpg)
O
Centre
LK
X
Y
An arc divides the circle into two parts: the smaller arc is called the minor arc, the larger one is called the major arc.
Minor Arc KXL
Major Arc KYL
(Contd…)
![Page 22: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/22.jpg)
An arc
An arc
BACK
![Page 23: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/23.jpg)
Half of a circle is called a semicircle.
CentreO
DiameterD E
S
A semicircle is also an arc of the circle.
R
Arc DSE
Semicircle DRE
(Contd…)
Semicircle DSE
Arc DRE
![Page 24: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/24.jpg)
ECentre
O Diameter
Semicircle DSE
Semicircle DRE
Semicircular region
Semicircular region
The diameter of a circle divides it into 2 semicircular regions.
D
BACK
![Page 25: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/25.jpg)
A chord divides the circular region into 2 parts, each of which is called a segment of the circle.
Centre
O
D EChord DE
Minor segment of a circle
Major segment of a circle
S
R
(Contd…)
![Page 26: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/26.jpg)
CentreO
D EChord DE
Minor segment of the circle
Major segment of the circle
P
Q
Minor arc DPE
Major arc DQE
The part of the circular region enclosed by a minor arc and the chord is called a minor segment. Minor segment does not contain the centre of the circle.
The part of the circular region enclosed by a major arc and the chord is called a major segment. Major segment contains the centre of the circle.
BACK
![Page 27: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/27.jpg)
Radius Diameter Chord ArcSemiCircle
CentreO
![Page 28: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/28.jpg)
Radius Diameter Chord ArcSemiCircle
Radiu
s OM
Centre
M
O
![Page 29: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/29.jpg)
Radius Diameter Chord ArcSemiCircle
Centre
EDDiameter DE
O
![Page 30: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/30.jpg)
Radius Diameter Chord ArcSemiCircle
Centre
Chord PQ
P
Q
O
![Page 31: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/31.jpg)
Radius Diameter Chord ArcSemiCircle
Centre
E
G
Arc P
QRO
F
![Page 32: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/32.jpg)
Radius Diameter Chord ArcSemicircle
S
CentreO
Diameter
Semicircle
D E
Semicircle DSE
Semicircle
![Page 33: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/33.jpg)
C2
C
UM
F
E
R
N
C
E
A
E
I
Down1. The distance between any two points on the circumference of the circle.2. The distance around the circle.
3. The distance from the centre of the circle to a point on the circle.
R
D
IU
S
R
1
C
3R
A
Across:4. The line segment that joins
any two points on the circle and passes through its centre.
5. A closed curve in a plane.6. All points on the circle are equidistant from this point.7. A line segment that joins any
two points on a circle.
4D A M TE E
5 I R L E
6C E N T E
H RO D7
![Page 34: Circle untuk kelas 8](https://reader037.vdocuments.mx/reader037/viewer/2022102900/54bbaed34a7959bc558b4576/html5/thumbnails/34.jpg)