A) \[45.27\,c{{m}^{2}}\]
B) \[40.8\,c{{m}^{2}}\]
C) \[40.27\,c{{m}^{2}}\]
D) \[42.07\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Area of sector \[OAB=\frac{{{x}^{o}}}{{{360}^{o}}}\times \pi {{r}^{2}}\] \[=\frac{{{60}^{o}}}{{{360}^{o}}}\times \frac{22}{7}\times 21\times 21\,c{{m}^{2}}\] \[=231\,c{{m}^{2}}\] Area of \[\Delta \,\,OAB=\frac{\sqrt{3}}{4}\,{{r}^{2}}\] \[=\frac{\sqrt{3}}{4}\times 21\times 21\,c{{m}^{2}}\] \[=190.73\,c{{m}^{2}}\] \[\therefore \]Area of shaded region = Area of sector OAB - Area of \[\Delta \,OAB\] \[=(231-190.73)\,c{{m}^{2}}\] \[=40.27\,c{{m}^{2}}\]You need to login to perform this action.
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