The document discusses key concepts related to circles including: - A circle is a closed curve where all points are equidistant from the center point. - Key terms include radius, diameter, chord, arc, and semicircle. - Circles are used widely in daily life, music, and sports through objects like coins, drums, Olympic rings, and more.

1. Bombay Cambridge Gurukul
Circle
MATHEMATICS
STANDARD: VI

2. S
Circle in daily life
Q
Circle in music
PQ
ord
Ch
Circle in sports
P
Circle
Diameter DE
Centre
D
E
Circumference
O
M
O
Centre
Circular region
s
u
di
Radius
Ra
F
Diameter
M
Chord
RE
rc
Arc
G
A
Semicircle
Segments of a circle
Crossword

3. A circle
BACK

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

5. A circle
BACK
Five rings in the logo of Olympic games

6. A circle is a closed curve in a plane.
A circle can be drawn with the help of a circular object.
For example: A circle drawn with the help of a coin.
BACK

7. Centre O
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.
This fixed point (equidistant)
inside a circle is called
centre.
A circle has one and only
one centre.
BACK

8. A
Centre
O
A circle
The distance around a circle is called its circumference.
BACK

9. A circle divides a plane into three parts.
3. Exterior of a circle
Centre
O
2. Interior of a circle
A plane
1. The circle
The interior of a circle together with its circumference
is called the circular region.
BACK

10. us
di
Ra
O Centre
M
A point on the circle
A line segment that joins any point on the circle to its centre
is called a radius.
(Contd…)

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

12. A
O Centre
Diameter AB
A circle
B
A line segment that joins any two points on the circle and
passes through its centre is called a diameter.
(Contd…)

13. (Contd…)
M
A
A circle
P
Centre
O
Q
B
N
 Infinite number of diameters can be drawn in a circle.
 As the radii of a circle are equal in length, its diameters too

14. (Contd…)
M
Diameter MN
Radius OM
O
Radius ON
N
Centre
Radius OM = Radius ON
Diameter MN = Radius OM + Radius ON
The length of the diameter of a circle is twice the length of its
radius.
BACK

15. B is another point
on the circle
A is a point on the
circle
A
A line seCment
g hord that joins
point A and B
B
O
A line segment that joins any two points on the circle is
called a chord.

16. M
Cho
rd
MN
N
O
C
D
Chord CD
Diameter CD
K
L
L
ord K
Ch
Diameter is also a chord of the circle.
(Contd…)

17. M
Chord MN
N
O
C
D
Diameter CD
K
Chord KL
L
D
C
M
N
The diameter is the longest chord.
(Contd…)

18. M
Chord MN
G
Ch
or
d
N
O Centre
GH
K
L
Chord KL
H
Infinite number of chords can be drawn in a circle.
BACK

19. K
L
O
Centre
An arc is the distance between any two points on the
circumference of a circle.
(Contd…)

20. Naming an arc
X
K
Arc KXL
L
O
Centre
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.
(Contd…)

21. Minor Arc KXL
K
X
L
O
Centre
Major Arc KYL
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.
(Contd…)

22. An arc
An arc
BACK

23. S
Semicircle DSE
Arc DSE
Diameter
D
E
O
Centre
R
Semicircle DRE
Arc DRE
 Half of a circle is called a semicircle.
 A semicircle is also an arc of the circle.
(Contd…)

24. Semicircle DSE
Semicircular region
D
O Diameter
Centre
E
Semicircular region
Semicircle DRE
The diameter of a circle divides it into
2 semicircular regions.
BACK

25. S
D
Minor segment of a circle
E
Chord DE
Centre
O
Major segment of a circle
R
A chord divides the circular region into 2 parts, each of
which is called a segment of the circle.
(Contd…)

26. P
Minor arc DPE
E
D
Chord DE
Centre
Minor segment of
the circle
O
Major segment of the
circle
Major arc DQE
Q
 The part of the circular region enclosed by a minor arc and
major
the chord is called a minor segment.centre of the
major
 Minor segment does not the centre of the circle. circle.
Major
contains contain the
BACK

27. O
Centre
Radius
Diameter
Chord
Arc
Semi
Circle

28. sO
iu
ad
R
M
O Centre
M
Radius
Diameter
Chord
Arc
Semi
Circle

29. Diameter DE
D
O
E
Centre
Radius
Diameter
Chord
Arc
Semi
Circle

30. Ch o r
d PQ
Q
P
O
Centre
Radius
Diameter
Chord
Arc
Semi
Circle

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

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

33. 2C
1A
4D I
R
R
5C
I
R
C
A
M
E
T
E 3R
A
L
D
E
U
I
M
U
F
S
E
6C E
N
T
R
E
N
E
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.
Down
1. The distance between any two
points on the circumference of the
circle.
2. The distance around the circle.
E
7C H
Across:
O
R
D 3. The distance from the centre of the
circle to a point on the circle.