\[\begin{array}{1 1}(1)2&(2)4\\(3)8&(4)16\end{array}\]

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Radius of semi circle $r= 2 \;cm$

Area of the semi circle $=\large\frac{1}{2} $$ \times \pi \times 2^2$

$\qquad= 2 \pi cm^2$

$\qquad= 2 \times 3.14 =6.28 \;cm^2$

Choices (3) and (4) are not possible

In the remaining choice take the greatest value .

The maximum area of the rectangle is $4\;cm^2$

Hence 2 is the correct answer.

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