A) \[25\sqrt{2}\pi \,\,cm\]
B) \[\frac{50\sqrt{2}}{\pi }cm\]
C) \[50\sqrt{2}\pi \,\,cm\]
D) \[\frac{25\sqrt{3}}{\pi }cm\]
Correct Answer: B
Solution :
Circumference of the circle\[=\pi \times \]diameter \[\Rightarrow \] \[\pi \times d=100\Rightarrow d=\frac{100}{\pi }cm\] \[\therefore \]Diagonal of Inscribed square\[=\frac{100}{\pi }cm\] \[\therefore \]Side of the square \[=\frac{1}{\sqrt{2}}\times \] diagonal\[=\frac{1}{\sqrt{2}}\frac{100}{\pi }=\frac{50\sqrt{2}}{\pi }cm\]
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