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In a semi circle of diameter $4$cm a rectangle is to be inscribed . The maximum area of the rectangle is

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

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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.
answered May 20, 2014 by meena.p
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