Question

if a wire of 440 M length is molded in the form of a circle and Square turn-by-turn find the ratio of the area of the circle to get a square

Answer 1

length of wire = circumference = perimeter of square
$circumference \: = \: 2\pi \: r = 440 \\ r = \: \frac{440}{2} \times \frac{7}{22} \\ r \: = \: 70meters \\ area \: of \: circle \: = \: \pi {r}^{2} = \: \frac{22}{7} \times 70 \times 70 \\ = \: 15400 {m}^{2} \\ \\ perimeter \: of \: square \: = \: 4s \: = \: 440m \\ s \: = \: \frac{440}{4} \\ s \: = \: 110m \\ area \: of \: square \: = \: {s}^{2} \: = \: {110}^{2} = 12100 {m}^{2} \\ \\ ratio \: of \: areas \: = \: \frac{15400}{12100} \\ = \frac{154}{121}$
ratio = 154:121