Question

The circumference of a circle is $100$ inches. The side of a square inscribed in this circle, expressed in inches, is:

• A. $\frac{25\sqrt{2}}{\pi }$
• B. $\frac{50\sqrt{2}}{\pi }$
• C. $\frac{100}{\pi }$
• D. $\frac{100\sqrt{2}}{\pi }$
• E. $50\sqrt{2}$

Answer 1

Answer: (B)

$\frac{50\sqrt{2}}{\pi }$

$\pi d=100d=\frac{100}{\pi }$
As we know, for a square
$S=\frac{d}{\sqrt{2}}=\frac{100}{\pi \sqrt{2}}=\frac{50\sqrt{2}}{\pi }$