1. CHOITHRAM INTERNATINAL
INDORE
Topic:Circle
MATHEMATICS
STANDARD: VI

2. Contents O F Circle in daily life Circle in music Circle in sports
Radius OM
Centre M
Chord PQ P E D 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
Contents

3. CIRCLE IN DAILY LIFE
A circle
BACK

4. Many musical instruments have a circular surface.
CIRCLE IN MUSIC
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
CIRCLE IN SPORTS
A circle
Five rings in the logo of Olympic games
BACK

6. What is a Circle? 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. Circle and Centre of a circle
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.
A circle
Centre O
This fixed point (equidistant) inside a circle is called centre.
A circle has one and only one centre.
BACK

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

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

10. O M Radius Centre 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 M
Radius K L
Radii ( plural of radius) of a circle are equal in length.
Infinite number of radius can be drawn in a circle.
BACK

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

13. A circle O (Contd…) M A P Q B N
Centre A
A circle P 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
are equal in length.

14. Diameter MN = Radius OM + Radius ON
(Contd…)
Diameter MN M N
Radius OM O
Radius ON
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. A line segment that joins
Chord
B is another point on the circle
A is a point on the
circle A B
A line segment that joins
point A and B
Chord O
A line segment that joins any two points on the circle is called a chord.

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

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

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

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

20. Naming an arc X K L O Centre Arc KXL
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. X Minor Arc KXL K 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. Example of an arc
An arc
An arc
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23. Arc DSE Semicircle DSE O Arc DRE Semicircle DRE
Diameter E D O
Centre
Arc DRE
Semicircle DRE R
Half of a circle is called a semicircle.
A semicircle is also an arc of the circle.
(Contd…)

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

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

27. Recap the Terms O
Centre
Radius
Diameter
Chord
Arc
Semi
Circle

28. O M Radius Diameter Chord Arc Semi Circle
Centre
Radius OM M
Radius
Diameter
Chord
Arc
Semi
Circle

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

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

31. O Radius Diameter Chord Arc Semi Circle
Centre
Arc PQR F G
Radius
Diameter
Chord
Arc
Semi
Circle

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

33. Circle Crossword Across: 2 C
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. 1 A 4 D I A M E T E 3 R R R A 5 C I R C L E D U I
Circle Crossword M U F S E
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. 6 C E N T R E E N 7 C H O R D E

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