Question

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side
6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)
​

Answer 1

Answer:

ar(sq)=36cm2

ar(cir)=12.56cm2

Step-by-step explanation:

left over aluminium sheet =36-12.56

=23.44cm2

Answer 2

$\huge\mathfrak{\underline{Correct\:question}}$

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)

______________________________

Given that:-

• A circle of radius 2 cm is cut out from a square piece of an aluminium sheet.

• Side of sheet = 6cm

To find:-

• The left over area of aluminium sheet.

[ We have to take (π = 3.14) ]

Answer:-

$\bold{STEP-BY-STEP-EXPLANATION}$

From the question it is given that,

Radius of circle = 2 cm

Square sheet side = 6 cm

Firstly, we have to find out the area of square aluminium sheet and circle to find out the remaining area.

Now,

Area of the square = side × side

= 62

= 36 cm^2

Area of the circle = πr^2

= 3.14 × 22

= 3.14 × 2 × 2

= 3.14 × 4

= 12.56 cm^2

Now,

The area of the remaining part = Area of aluminum square sheet – area of circle

= 36 – 12.56

= 23.44 cm^2

Therefore, left over area of aluminium sheet = 23.44cm^2

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