A) 3850
B) 3560
C) 4820
D) 3250
E) 3920
Correct Answer: A
Solution :
Area of circular lawn = 1386 sq. metre \[\Rightarrow \text{ }\pi {{r}^{2}}=1386\] \[\Rightarrow \text{ }\frac{22}{7}\times {{r}^{2}}=1386\] \[\Rightarrow \text{ }{{\text{r}}^{2}}=\frac{1386\times 7}{22}=63\times 7\] \[\Rightarrow \text{ r=}\sqrt{63\times 7}=\sqrt{9\times 7\times 7}=21\,\,metre\] \[\therefore \] Radius of park with path \[=21+14=35\]metre \[\therefore \] Required area \[=\pi {{R}^{2}}\] \[=\frac{22}{7}\times 35\times 35\] = 3850 sq. metreYou need to login to perform this action.
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