A) \[1232\,\,c{{m}^{2}}\]
B) \[1223\,\,c{{m}^{2}}\]
C) \[1322\,\,c{{m}^{2}}\]
D) \[1323\,\,c{{m}^{2}}\]
Correct Answer: A
Solution :
Given perimeter of a semicircle \[=144\text{ }cm\] \[\Rightarrow \] \[r(\pi +2)=144\] \[\Rightarrow \] \[r\times \frac{36}{7}=144\] \[\Rightarrow \] \[r=28\,cm\] Area of semicircle \[=\frac{1}{2}\pi {{r}^{2}}=\frac{1}{2}\times \frac{22}{7}\times 28\times 28\] \[=1232\,c{{m}^{2}}\]
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