"In the figure, ABC and DEF are quadrants of radius 7 cm. The shaded portion is a square of side 3 cm. What is the area of the figure including the shaded portion. \[\left( \pi =\frac{22}{7} \right)\]
A) \[34\,c{{m}^{2}}\]
B) \[38.5\,c{{m}^{2}}\]
C) \[77\,c{{m}^{2}}\]
D) \[163\,c{{m}^{2}}\]
Correct Answer: B
Solution :
Required area = Area of square + 2[Area of unshaded part] \[=(3\times 3)\,+2\,\left[ \frac{22}{7}\,\times \frac{77}{4}-9 \right]\] \[=9+2\left[ \frac{77}{2}-9 \right]=9+2\times \frac{59}{2}\,=9+59\] \[=68\,c{{m}^{2}}\].
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