A) 196 sq.cm
B) 98 sq.cm
C) 154 sq.cm
D) 42 sq.cm
Correct Answer: D
Solution :
Side of square \[=\frac{\text{Perimeter}}{4}=\frac{56}{4}=14\,cm\] Area of square \[={{(\text{Side})}^{2}}={{(14)}^{2}}\] =196sq.cm Radius of circle \[=\frac{14}{2}=7\,cm\] Area of circle \[=\pi {{r}^{2}}=\frac{22}{7}\,\times 7\times 7\] = 154sq.cm Area of shaded portion = 196 -154 = 42 sq. cm
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