A) \[\left( {{x}^{2}}-\frac{{{y}^{2}}}{\pi } \right){{m}^{2}}\]
B) \[\left( {{y}^{2}}+\frac{{{x}^{2}}}{\pi } \right){{m}^{2}}\]
C) \[\left( {{x}^{2}}+\frac{{{y}^{2}}}{\pi } \right){{m}^{2}}\]
D) \[\left( {{y}^{2}}-\frac{{{x}^{2}}}{\pi } \right){{m}^{2}}\]
Correct Answer: D
Solution :
(d): Radius \[=\frac{x}{2\pi }\] \[\Rightarrow \] area of 4 poles \[=4\times \left[ \pi \frac{{{x}^{2}}}{{{(2\pi )}^{2}}} \right]=\frac{{{x}^{2}}}{\pi }\] \[\therefore \] Unsupported area \[={{y}^{2}}-\frac{{{x}^{2}}}{\pi }\]
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