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n#. Á§fuh{, Ï.ã. MÁça®,

Cuh£Á x‹¿a¤ bjhl¡f¥gŸë, br«gu«gh¡f«, óéUªjtšè x‹¿a«.
ÂUtŸS® kht£l«

exit
3

2

1

0

RECTANGLE

……………………………………………… ........

4

…………………………………………………………….......................................
0
1
2
3
4
5
6
7
8

l
b

THE AREA OF RECTANGLE

ABCD IS

THE AREA OF RECTANGLE

ABCD IS

EIGHT UNITS
FOUR UNITS

l
8

b
4

l b
32

SQUARE UNITS
SQUARE UNITS
l
b

RECTANGLE

b

l

l

EIGHT UNITS

b
THE AREA OF RECTANGLE
ABCD IS
THE AREA OF RECTANGLE
ABCD IS

FOUR UNITS

l

b
8 4

l b SQUARE UNITS
32 SQUARE UNITS

exit
3

2

1

0

……………………………………………… ........

4

SQUARE

………………………………………………
0

1

2

3

4
SQUARE

a

a

a

a

SIDE OF SQUARE
AREA OF SQUARE
AREA OF SQUARE

a UNITS
a a2 SQUARE UNITS
a
4 4 16 SQUARE UNITS

exit
PARALLELOGRAM

BASE OF PARALLELOGRAM IS

b

b UNITS

HEIGHT OF PARALLELOGRAM
UNITS
IS
THE PARALLELOGRAM CHANGE INTO RECTANGLE
THE BASE CHANGE INTO LENGTH OF THE RECTANGLE SO
AREA OF PARALLELOGRAM IS
AREA OF PARALLELOGRAM IS

AREA OF RECTANGLE
SQUARE UNITS

b

b

exit
RHOMBUS
DIAGONAL

d2
DIAGONAL

AREA OF RHOMBUS IS
AREA OF RHOMBUS IS

d1

_ AREA OF THE RECTANGLE
1
2
_ d1 d2 SQUARE UNITS
1
2
exit
b - BASE
THE TRIANGLE CHANGE INTO RECTANGLE
AREA OF TRIANGLE

AREA OF RECTANGLE
BASE (

AREA OF TRIANGLE IS

1
b) _h
2

1
_
b h
2
1
_
2 b h SQUARE UNITS
exit
TRAPEZIUM

b

a
AREA OF TRAPEZIUM
ABCD IS

(AREA OF
1
( _ AB

(
(
AREA OF TRAPEZIUM
ABCD IS

2
_
1
2
_
1
2

a
ah)

1 (a
_
2

ABD )
ED)

h)

(AREA OF
1
( __DC

(

2
__
1
2

b

BCD)

BF)

h)

1
( __ bh)
2

b) h SQUARE UNITS

exit
rçtf«

b

bb
b
bb

b
M1

M2

h
E

_h
1
2

a
AREA OF TRAPEZIUM

AREA OF RECTANGLE

AREA OF TRAPEZIUM

LENGTH

AREA OF TRAPEZIUM

BREADTH

1
(a b) _
h
2
_ (a b) h SQUARE UNITS
1
2
exit
xU nrho g¡f§fŸ
k£L« Ïizahf
cŸs eh‰fu«

_ (a
1
2

b)

rJu
h myFfŸ

K¡nfhz§
fshf m¿jš

rçtf¤Â‹
g©òfŸ

br›tfkhf
m¿jš

rçtf¤Â‹
gu¥gsÎ

rçtf«
exit
n#. Á§fuh{, Ï.ã. MÁça®,

Cuh£Á x‹¿a¤ bjhl¡f¥gŸë, br«gu«gh¡f«, óéUªjtšè x‹¿a«.
ÂUtŸS® kht£l«

exit
t£l«
u«
M

t£lika«

P = R‰wsÎ (PERIMETER)

D=

é£l«

( DIAMETER)

é£l«

l Â
t£ gF
¿a ¥
Á hz
nf

R‰wsÎ

bgça t£l
nfhz¥gFÂ
t£l«
t£l eh©
t£l eh©
t£l ¤Â‹ äf¥bgça eh© ( é£l«)
t£l eh©
t£l eh©
t£l¤Â‹ ika¡nfhz« = 360 °.

t£l eh©
t£l eh©
t£l¤Â‹ gç¡F« é£l¤Â‰F« ÏilnaÍŸs bjhl®ò

P

2r = d
P
▬=
d

π

P = R‰wsÎ ( PERIMETER)
D =é£l« (DIAMETER)
r =Mu« ( radius)

P = PERIMETER
D = DIAMETER

~
▬

22
▬
7

~

~ 3.14
▬
▬

π
t£l¤Â‹ R‰wsÎ
P = R‰wsÎ

P = R‰wsÎ ( PERIMETER)
D =é£l« (DIAMETER)
r =Mu« ( radius)
2r = d
2r

t£l¤Â‹ R‰wsÎ
t£l¤Â‹ é£l«
t£l¤Â‹ R‰wsÎ
t£l¤Â‹ R‰wsÎ
t£l¤Â‹ R‰wsÎ
t£l¤Â‹ R‰wsÎ

=π
= π × t£l¤Â‹ é£l«
=π×d
=π×
= 2πr rJu myFfŸ

P
▬=
d

π
P
▬
2

D

P
▬
2

P
▬
2

ABC
D

P
▬ ×r
2

r

Multiply by ‘r’ on both side of
numerator and denominator

=

C

P
▬ ×r×r
2r

2r = d

r

r
A

=

AREA OF

=

AREA OF

=

B

AREA OF

P
▬ ×
d

r2
P
▬=
d

π

= πr² s q units
P
▬
2

miu t£l¤Â‹ R‰wsÎ
miu t£l¤Â‹ ika¡nfhz« 180 °
A

miut£l¤Â‹ R‰wsÎ
R‰wsÎ (P)

180 °

= (½ ×

r

t£l¤Â‹ gç )

Mu«)
P

=

(½ × 2πr )

P

=

+

(πr +2r ) =

myFfŸ.

miut£l¤Â‹
R‰wsÎ

= (

π + 2) r

r

o

+

(2

×

2r

( π + 2) r

r

r myFfŸ.

B
P
▬
2

miu t£l¤Â‹ gu¥gsÎ

A

miut£l¤Â‹ gu¥gsÎ
miut£l¤Â‹ gu¥gsÎ (A)

=

½ ×

r

t£l¤Â‹ gu¥gsÎ

= ½ × πr²
πr²
miut£l¤Â‹ gu¥gsÎ (A)

=

r

▬ rJu myFfŸ.
2

B
P
▬
4

fhš t£l¤Â‹ R‰wsÎ

r

fhš t£l¤Â‹ ika¡nfhz« 90 °
A

fhš t£l¤Â‹ R‰wsÎ
R‰wsÎ (P)

= (¼ ×

t£l¤Â‹ gç )

Mu«)
P

=

( ¼ × 2πr )

P

=

▬
(πr +2r ) =

myFfŸ.

miut£l¤Â‹
R‰wsÎ

2

▬
2

= (

B

+
▬
(
2

π + 2) r

+

r

90 °
o

(2

×

2r
π + 2) r

r

r myFfŸ.
P
▬
4

fhš t£l¤Â‹ gu¥gsÎ

B

r
A

r

90 °
o

fhš t£l¤Â‹ gu¥gsÎ

=

¼ × t£l¤Â‹ gu¥gsÎ

=

fhš t£l¤Â‹ gu¥gsÎ (A)

¼

× πr²

πr²
fhš t£l¤Â‹ gu¥gsÎ (A)

=

▬ rJu myFfŸ.
4
r®trk K¡nfhz§fŸ
A
R
PP

R

R
B

P

Q
Q
Q

A

P

B

Q

C

R

R
PC
Q

gf;fk; AB = gf;fk; PQ;
gf;fk; BC = gf;fk; QR
gf;fk; CA = gf;fk; RP

Nfhzk; A = Nfhzk; P
Nfhzk; B = Nfhzk; Q
Nfhzk; C = Nfhzk; R
SSS – mo¥gil¡ bfhŸif
A

B

S – g¡f«
A – nfhz«

D

C E

F
S
P

R

Q
SAS – mo¥gil¡ bfhŸif

D
A

A

B

S – g¡f«
A – nfhz«

C

E
B

F
C
A

B

B

C

A

3–b
rÛ

7–
7– brÛbrÛ

brÛ
–

300

300

300

7– brÛ

7– br Û
7– brÛ
3

C

A

3 – brÛ
rÛ

300 – b
3

A

br
Û

B
7–

300

3

30
0

B

C

C

Û
7– br

C

B
br Û
–

A

B
B

3 –A

3–

A

Û
br

Û
br

300

C
C
A

brÛ
3–

3–
b

D

rÛ

D

3
brÛ–brÛ
6–

o

o

o
Û

B

C

rÛ
3–
–b
brÛ 6
6
– br

Û
–br
6

C

D

C
ASA – mo¥gil¡ bfhŸif

A

A

B

S – g¡f«
A – nfhz«

C

B

C
RHS – mo¥gil¡ bfhŸif
D

A

B

C

E

F
D
A

F

BE

D

C

E

F
FOR FURTHER DETAILS SEE THE WEB SITE OF
www.whiteboardmaths.com

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