A plot is in the form of a rectangle ABCD having semi-circle on B…

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A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in Fig. If $AB =60 m$ and $BC =28 m$, find the area of the plot.

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Answer

Length of rectangular portion $( I )=60 m$ and breadth (b) $=28 m$
Area of the rectangular plot $=1 \times b=60 \times 28 m^2=1680 m^2$
Radius of semicircular portion $(r)=\frac{b}{2}=\frac{28}{2}=14 m$
Area $=\frac{1}{2} \pi r ^2$
$=\frac{1}{2} \times \frac{22}{7} \times 14 \times 14 m^2$
$=308 m^2$
Total area of the plot $=1680+308=1988 m^2$

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