Graphic moduleof maths class vi for Teachers

Graphic Self Learning Module In

Mathematics For The Students Of

Class VI

Prepared By

Ms. Sushma Singh

Investigator

Ph.D. (Education)

i

Graphic Self Learning Module (Maths)

Circle and Elements of Circle

Class -VI

Previous Knowledge:-

Child knows measurement. He has studied Geometry up to class V.

Objectives:-

(1) The child will know about the elements of circle like radius, centre

etc. And will be able to draw them with the help of compass and

pencil.

(2) He will understand the relationship between the elements of circle.

(3) From various exercises on pictures he will generalize the elements

of circles.

(4) He will be able to use these elements in daily life.

Material Required:-

Pencil, compass, note book, card board, eraser, scale etc.

ii

Achievement of Activity to be done Activity to be done
the by the teacher. by the students.
objective.
The child 1. Tick the correct
recognizes the figure of the circle.
circle very well.
You have done
it correctly.

Good effort and 2. Draw the correct
it’s correct. figure of the circle in
the given blank
space.

iii

Very good you 3. Now take a
are able to make compass and
a correct figure observe that it has
of the circle. two legs one leg has
a pointed needle and
other has provision
to put pencil in it.
Now put a
sharpened pencil in
the leg having
provision of it and
tightened it.
It is called a As shown in figure.
circle. Put the needle on
the paper and rotate
the pencil leg
around it like the
figure. This figure is
called a circle/ Is
not it?

Students are 4. Students! With
able to make the help of pencil
circles and the compass
accurately. make three circles of
different sizes and
tell whether you are
able to make them
correctly.

iv

Students 5. Students! Now
understand the place the needle of
centre of the the compass on
circle. point A in the given
circle and make a
circle with the help
of pencil as given in
the figure.
The point A is called
the centre of the
circle. Do you
understand the
centre of the circle
or not?

Radius of the 6. Students! There
circle: You have is a figure of circle
joined centre A its centre is A.
with B, A with C Now using ruler join
then A with D, A A with B and you get
with E, A with F a line segment AB
and total line and this AB is also
segments are called a radius of the
AB, AC, AD, AE, circle.
AF which are Now join centre A
five in number. with the points C, D,
Good. E, F etc. see total
number of line
segments/radius.

v

You measured 7. Students! Using
the line a ruler measure the
segments: line segment AB
AB=3cm. then length of AC,
AC=3cm. AD, AE and line
AD=3cm. segment AF and tell
AE=3cm. the length of radius
AF=3cm. of the circle.
All the line See carefully that all
segments/radii the line segments
are equal in have some
length. similarity? Are they
All right. all not equal?

8. Students! In the
given figure there is
one circle. From the
centre A there is one
radius AB and
It is called the another AC.
radius of the You know that a line
circle. joining the centre
AB=AC=AD=3cm and any point on the
. circle is called the
radius/Is not it?
In the figure join
BAC with the help of
the scale.
Now measure the
radius AB and AC
with the help of the
scale and write its
length. You see that
All the radii are radius AB=AC. See
equal. carefully that all the
radii of the circle are
equal to each other.
Measure AD in the
figure you see that it
is also equal .So all
the radii of the circle
are equal/is not it?

vi

Relation between 9. From the centre of
diameter of a the circle Draw a
circle and radius line segment BAC as
of a circle. shown in figure.
See AB and AC are
They are equal. equal in length/are
not?
This line segment
Diameter is CAB is called the
double of the diameter of the
radius. circle and it is
double of the
radius/is not?

10. Any line segment
which passes
through the centre
of the circle and its
end points are on
the circle is called
diameter of the
It is called circle/is not it?
diameter. Now in the figure AC
AC is radius of is radius of the circle
the circle. /is not it
AB is radius of In figure AB is also a
the circle. radius of the
CB is diameter circle /is not?
of the circle. In the same figure
CB is diameter of
the circle/is not?
Length of diameter
CB is equal =(radius
AB + radius AC )
Yes Well/is not it?
Length of diameter
CB=2( length of
Yes radius)
Well. Well/is not it?

vii

11. Now in the given (1) circle
figures measure the
length of the radii
and the diameters of
the circles and note
down in the given OB=--cm AB=--cm
table. OA=--cm OC=--cm
From the table find (2)circle
out that length of
the diameter is
double the length of
the radius in a
Yes it is. circle/is not it?
The length of the LOD - Length of
diameter of a Diameter. AB=--cm OA=--cm
circle is double LOR - Length of OB=--cm OC=--cm
the length of its Radius. (3) circle
radius.
All the radii of S.N. CIRCLE LOD LOR

the circle are 1 i.
equal in length. 2 ii.
3 iii. AB=--cm OA=--cm
OB=--cm OC=--cm

Chord of the 12. In the given
circle. figure join the two
given points on the
circle with the help
of the scale. Line
segment BA is called
chord of the circle.
Chord BA does not
passes through the
You said it is a centre of the circle
chord. i. So the line joining
the two points on
the circle is called
chord of the circle/is
not it?

viii

13. i. The chord of a
circle which passes
through the centre
of the circle is also
diameter of the
i. Diameter is circle. /is not it?
also a chord. ii. Now draw the
different chords of
the given circle and
ii. We can draw tell how many
so many chords. chords you can
draw.
iii. Now with the
help of a scale
measure the lengths
of the chords and
write their lengths in Length of
iii. It is the the given table and chord
longest. find out the length AB
of the chord AB CD
which is maximum EF
in all /is not it? GH
iv. Chord AB which IJ
iv. It is diameter. passes through KL
centre O is MN
maximum in length PQ
and it is diameter of
the circle/is not it?
14. Now in the figure
from the point A
draw different
chords as shown
and measure them.
It is longest. You notice that
diameter of the
circle is the longest
chord/is not it?

ix

15. A part of the
circumference of a
circle is called arc.
In figure ABC is an
arc of the circle/is
It is an arc. not it?
In figure ABC is
minor arc and ADC
is major arc.

i. It is semicircle. 16. i. each side
portion of the
diameter as shown
in figure shaded or
non- shaded portion
ii. Semicircle is both are semicircles.
an arc. ii. Semicircle is also
arc of the circle as
shown in figure semi
circle ACB is an
arc/is not it?

x

It is the 17. Now paste the
circumference of thread with the help
the circle. of fevicole like in
figure.
i. Now remove the
thread carefully and
measure its length
with the help of the
scale. The length of
the thread is
circumference of the
circle.
ii. Length of the
thread is equal to
circumference of the
circle.

Circumference is 18. Measure the Length of the thread=----cm
Length of diameter=-----cm
more than three length of diameter Circumference =3(diameter)
times of BOC with the help of
diameter. scale (circle given
above).
Now compare the
length of diameter
BOC and the length
of circumference is
little more than the
three times the
length of diameter.

xi

Circumference of the 19. Now take circles
circle in cm.
i. Measure= 6.3 cm.
of
Diameter= 2 cm. 2 cm, 4 cm and 6
ii. Measure=12.6 cm. cm made up of wire.
Diameter= 4 cm. Now cut them at a
iii. Measure=18.8 cm.
Diameter= 6 cm.
point A and write
the length of the
wire in the given
table. You see that
in every circle the
length of
circumference is
more than three
times the length of
the diameter/is not LOD Circumference
it? 2 cm. 6.3 cm.
4 cm. 12.6 cm.
6 cm. 18.8 cm.

A B D i a m e t e r
20.
O E R a d i u s

A B A r c

C D C h o r d

O E C h o r d

A G F A r c

C D D i a m e t e r

A G F R a d i u s

Well done.

xii

Graphic moduleof maths class vi for Teachers

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