1. MATHEMATICSMATHEMATICS
STANDARDSTANDARD: VI: VI
Bombay Cambridge GurukulBombay Cambridge Gurukul
Circle

2. S
Radius
O
M
Centre
M
Chord PQ
P
ED
Q
G Arc
RE
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

3. A circle
BACK

4. Many musical instruments have a circular surface.
For example:
Bingo Drum Tabla
Snare Drum Bass DrumBACK

5. Five rings in the logo of Olympic gamesBACK
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.
OCentre
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. Radius
A line segment that joins any point on the circle to its centre
is called a radius.
M
A point on the circle
CentreO
(Contd…)

11.  Radii ( plural of radius) of a circle are equal in length.
 Infinite number of radius can be drawn in a circle.
R
adius
Centre
K
O
L
M
N
(Contd…)
BACK

12. 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 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
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
A line segment that joins
point A and B
Chord

16. Diameter is also a chord of the circle.
O
Chord CD
C D
M
N
K
L
Chord MN
Chord KL
(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
LK

18. L
K
M N
Chord MN
O Centre
Infinite number of chords can be drawn in a circle.
Chord KL
Chord
GH
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
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.
X
Naming an arc
(Contd…)
Arc KXL

21. 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…)

22. An arc
An arc
BACK

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
Minorsegment of a circle
Majorsegment 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
Radius O
M
Centre
M
O

29. Radius Diameter Chord Arc
Semi
Circle
Centre
ED
Diameter DE
O

30. Radius Diameter Chord Arc
Semi
Circle
Centre
Chord PQ
P
Q
O

31. Radius Diameter Chord Arc
Semi
Circle
Centre
E
G
Arc PQ
R
O
F

32. Radius Diameter Chord Arc
Semi
circle
S
Centre
O
Diameter
Semicircle
D E
Semicircle DSE
Semicircle

33. C2
C
UM
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
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