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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?

Q. 11.     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  \pi =3.14)

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It is given that the radius of the circle is 2 \ cm

Now, we know that

Area of the circle (A) = \pi r^2

\Rightarrow \pi r^2= 3.14 \times(2)^2= 12.56 \ cm^2                                      - (i)

Now,

Now, Area of square  = a^2

\Rightarrow a^2 = (6)^2 = 36 \ cm^2                                                   -(ii)

Now, the remaining area is (ii) - (i)

\Rightarrow 36 - 12.56 = 23.44 \ cm^2

Therefore, the area of the remaining aluminium sheet  is  23.44 \ cm^2

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