Question

a circle of radius 2m is cut out from square piece of aluminum sheet of side 8cm .what is area of left over the aluminum sheet (take r=3.14)​

Answer 1

$\red{\textbf{Answer :- }}$$51.44 \: {cm}^{2}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$\textsf{Radius of circle=2 cm }$

$\textsf{side of aluminium square sheet=8 cm}$

$\red{\textbf{To find :-}}$$\textsf{area of left over the sheet }$

$\textsf{According to question,}$

$\textsf{Area of aluminium sheet left=Total area}$

$\textsf{of aluminium sheet−Area of circle}$

$side \: \times side - \pi {r}^{2}$

$= 8 \times 8 - \Large\frac{22}{7} \small\times 2 \times 2$

$= 64 - 12.56$

$= 51.44 \: {cm}^{2}$

$\textsf{Therefore, the area of aluminium sheet}$

$\textsf{left }$$= 51.44 \: {cm}^{2}$

Answer 2

Step-by-step explanation:

Answer :-

51.44

�

�

2

51.44cm

2

Step-by-step explanation:

Given

:-

Given :-

Radius

of

circle=2

cm

Radius of circle=2 cm

side

of

aluminium

square

sheet=8

cm

side of aluminium square sheet=8 cm

To

find

:-

To find :-

area

of

left

over

the

sheet

area of left over the sheet

According

to

question,

According to question,

Area

of

aluminium

sheet

left=Total

area

Area of aluminium sheet left=Total area

of

aluminium

sheet−Area

of

circle

of aluminium sheet−Area of circle

�

�

�

�

×

�

�

�

�

−

�

�

2

side×side−πr

2

=

8

×

8

−

22

7

×

2

×

2

=8×8−

7

22

×2×2

=

64

−

12.56

=64−12.56

=

51.44

�

�

2

=51.44cm

2

Therefore,

the

area

of

aluminium

sheet

Therefore, the area of aluminium sheet

left

left

=

51.44

�

�

2

=51.44cm

2