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MATHEMATICS
STANDARD: VI
Bombay Cambridge Gurukul
Bombay Cambridge Gurukul
Circle
S
Centre
M
P
E
D
Q
G
O
F
Diameter DE
Circle in daily life
Circle in music
Circle in sports
Circle
Centre
Circumference
Circular region
Radius
Diameter
Chord
Arc
Semicircle
Segments of a circle
Crossword
A circle
BACK
Many musical instruments have a circular surface.
For example:
Bingo Drum Tabla
Snare Drum Bass Drum
BACK
Five rings in the logo of Olympic games
BACK
A circle
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
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.
O
Centre
A circle
A circle has one and only
one centre.
BACK
The distance around a circle is called its circumference.
O
Centre
A circle
A
BACK
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
A line segment that joins any point on the circle to its centre
is called a radius.
M
A point on the circle
Centre
O
(Contd…)
 Radii ( plural of radius) of a circle are equal in length.
 Infinite number of radius can be drawn in a circle.
Centre
K
O
L
M
N
(Contd…)
BACK
A line segment that joins any two points on the circle and
passes through its centre is called a diameter.
A
B
A circle
O Centre
(Contd…)
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
The length of the diameter of a circle is twice the length of its
radius.
Radius OM
Centre
M
O
N
Radius ON
Diameter MN
Diameter MN = Radius OM + Radius ON
Radius OM = Radius ON
(Contd…)
BACK
A line segment that joins any two points on the circle is
called a chord.
O
B
A
A is a point on the
circle
B is another point
on the circle
Diameter is also a chord of the circle.
O
Chord CD
C D
M
N
K
L
(Contd…)
Diameter CD
The diameter is the longest chord.
O
Diameter CD
C D
M N
Chord MN
(Contd…)
C D
M N
Chord KL
L
K
L
K
M N
Chord MN
O Centre
Infinite number of chords can be drawn in a circle.
G
H
BACK
O
Centre
An arc is the distance between any two points on the
circumference of a circle.
K L
(Contd…)
O
Centre
L
K
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.
X
Naming an arc
(Contd…)
Arc KXL
O
Centre
L
K
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…)
An arc
An arc
BACK
 Half of a circle is called a semicircle.
Centre
O
Diameter
D E
S
 A semicircle is also an arc of the circle.
R
Arc DSE
Semicircle DRE
(Contd…)
Semicircle DSE
Arc DRE
E
Centre
O Diameter
Semicircle DSE
Semicircle DRE
Semicircular region
Semicircular region
The diameter of a circle divides it into
2 semicircular regions.
D
BACK
A chord divides the circular region into 2 parts, each of
which is called a segment of the circle.
Centre
O
D E
Chord DE
Minor segment of a circle
Major segment of a circle
S
R
(Contd…)
Centre
O
D E
Chord 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
Radius Diameter Chord Arc
Semi
Circle
Centre
O
Radius Diameter Chord Arc
Semi
Circle
Centre
M
O
Radius Diameter Chord Arc
Semi
Circle
Centre
E
D
Diameter DE
O
Radius Diameter Chord Arc
Semi
Circle
Centre
P
Q
O
Radius Diameter Chord Arc
Semi
Circle
Centre
E
G
O
F
Radius Diameter Chord Arc
Semi
circle
S
Centre
O
Diameter
Semicircle
D E
Semicircle DSE
Semicircle
C
2
C
U
M
F
E
R
N
C
E
A
E
I
Down
1. 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
I
U
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 T
E E
5 I R L E
6C E N T E
H R
O D
7
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circles.ppt

  • 1. MATHEMATICS STANDARD: VI Bombay Cambridge Gurukul Bombay Cambridge Gurukul Circle
  • 2. S Centre M P E D Q G O F Diameter DE Circle in daily life Circle in music Circle in sports Circle Centre Circumference Circular region Radius Diameter Chord Arc Semicircle Segments of a circle Crossword
  • 4. Many musical instruments have a circular surface. For example: Bingo Drum Tabla Snare Drum Bass Drum BACK
  • 5. Five rings in the logo of Olympic games BACK A circle
  • 6. 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
  • 7. 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. O Centre A circle A circle has one and only one centre. BACK
  • 8. The distance around a circle is called its circumference. O Centre A circle A BACK
  • 9. 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
  • 10. A line segment that joins any point on the circle to its centre is called a radius. M A point on the circle Centre O (Contd…)
  • 11.  Radii ( plural of radius) of a circle are equal in length.  Infinite number of radius can be drawn in a circle. Centre K O L M N (Contd…) BACK
  • 12. A line segment that joins any two points on the circle and passes through its centre is called a diameter. A B A circle O Centre (Contd…)
  • 13. 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
  • 14. The length of the diameter of a circle is twice the length of its radius. Radius OM Centre M O N Radius ON Diameter MN Diameter MN = Radius OM + Radius ON Radius OM = Radius ON (Contd…) BACK
  • 15. A line segment that joins any two points on the circle is called a chord. O B A A is a point on the circle B is another point on the circle
  • 16. Diameter is also a chord of the circle. O Chord CD C D M N K L (Contd…) Diameter CD
  • 17. The diameter is the longest chord. O Diameter CD C D M N Chord MN (Contd…) C D M N Chord KL L K
  • 18. L K M N Chord MN O Centre Infinite number of chords can be drawn in a circle. G H BACK
  • 19. O Centre An arc is the distance between any two points on the circumference of a circle. K L (Contd…)
  • 20. O Centre L K 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. X Naming an arc (Contd…) Arc KXL
  • 21. O Centre L K 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…)
  • 23.  Half of a circle is called a semicircle. Centre O Diameter D E S  A semicircle is also an arc of the circle. R Arc DSE Semicircle DRE (Contd…) Semicircle DSE Arc DRE
  • 24. E Centre O Diameter Semicircle DSE Semicircle DRE Semicircular region Semicircular region The diameter of a circle divides it into 2 semicircular regions. D BACK
  • 25. A chord divides the circular region into 2 parts, each of which is called a segment of the circle. Centre O D E Chord DE Minor segment of a circle Major segment of a circle S R (Contd…)
  • 26. Centre O D E Chord 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
  • 27. Radius Diameter Chord Arc Semi Circle Centre O
  • 28. Radius Diameter Chord Arc Semi Circle Centre M O
  • 29. Radius Diameter Chord Arc Semi Circle Centre E D Diameter DE O
  • 30. Radius Diameter Chord Arc Semi Circle Centre P Q O
  • 31. Radius Diameter Chord Arc Semi Circle Centre E G O F
  • 32. Radius Diameter Chord Arc Semi circle S Centre O Diameter Semicircle D E Semicircle DSE Semicircle
  • 33. C 2 C U M F E R N C E A E I Down 1. 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 I U 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 T E E 5 I R L E 6C E N T E H R O D 7