• # question_answer A wire bent in the form of a circle of radius 42 cm is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square? A) $11:12$                      B)  $21:33$C) $22:33$                      D)  $14:11$

$2\pi \times 42$length becomes perimeter of square. Area (Circle) $=\pi \times {{42}^{2}}$ Side of square $=\frac{2\pi \times 42}{4}=21\pi \Rightarrow$ Area (square) ${{\left( 21\pi \right)}^{2}}$ $\therefore$$\frac{Area\,\left( circle \right)}{Area\,\left( Square \right)}=\frac{\pi \times {{42}^{2}}}{{{\pi }^{2}}\times {{21}^{2}}}=\frac{4}{\pi }=\frac{4}{22/7}=\frac{14}{11}$