A) \[32.4\text{ }m\]
B) \[36.4\text{ }m\]
C) \[32.6\,m\]
D) \[39.4\text{ }m\]
Correct Answer: A
Solution :
Let the radius of the circular lawn be r m, Area of the park \[=120\times 100=12000\text{ }{{m}^{2}}\] Area of the lawn \[=\pi \times {{r}^{2}}\] According to question, \[12000-\frac{22}{7}{{r}^{2}}=8700\] \[\Rightarrow \] \[\frac{22}{7}{{r}^{2}}=12000-8700\Rightarrow {{r}^{2}}=3300\times \frac{7}{22}\] \[\Rightarrow \] \[{{r}^{2}}=1050\,\,\,\Rightarrow \,\,r=\sqrt{1050}=32.40\,m\]
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