In the adjoining figure, OABC is a square of side\[\text{7 cm}\]. OAC is a quadrant of a circle with O as centre. The area of the shaded region is: |
A) \[10.5\,c{{m}^{2}}\]
B) \[38.5\,c{{m}^{2}}\]
C) \[49\,c{{m}^{2}}\]
D) \[11.5\,c{{m}^{2}}\]
Correct Answer: A
Solution :
[a] Required area |
\[=\left( {{7}^{2}}-\frac{1}{4}\times \frac{22}{7}\times {{7}^{2}} \right)c{{m}^{2}}\] |
\[=(49-38.5)c{{m}^{2}}=10.5c{{m}^{2}}\] |
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