| A square is circumscribing a circle. The side of the square is\[\text{14 cm}\]. Find the area of the shaded region. |
 |
A) \[21c{{m}^{2}}\]
B) \[42c{{m}^{2}}\]
C) \[48c{{m}^{2}}\]
D) \[196c{{m}^{2}}\]
Correct Answer: B
Solution :
| [b] Here. radius of circle \[(r)=\frac{14}{2}=7cm\] |
| Required area |
| \[=\text{Area of square}-\text{Area of circle}\] |
| \[={{(side)}^{2}}-\pi {{r}^{2}}\] |
| \[=14\times 14-\frac{22}{7}\times 7\times 7=196-154\] |
| \[=42\,c{{m}^{2}}\] |
| Hence, area of shaded region is \[42\,c{{m}^{2}}\]. |
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