A) \[1400c{{m}^{2}}\]
B) \[1039.5c{{m}^{2}}\]
C) \[1462\text{ }c{{m}^{2}}\]
D) \[1472\text{ }c{{m}^{2}}\]
Correct Answer: B
Solution :
Area of major sector = Area of circle \[\left( \pi {{r}^{2}} \right)\]- area of minor sector \[=\pi {{r}^{2}}-\frac{1}{4}\pi {{r}^{2}}\] \[=\frac{3}{4}\pi {{r}^{2}}\] \[=\frac{3}{4}\times \frac{22}{7}\times 21\times 21\] \[=\frac{29106}{28}\] \[=1039.5\,\,c{{m}^{2}}\]
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