Question

The perimeter of a square equals an equilateral triangle which in turn equals circumference of a circle.Which of the options hold up in relation to their areas

Answer 1

let the side of square be x. therefore,side of triangle will be 4/3 *x . and diameter of circle is x/π and radius is x/2π. area of square is
${x }^{2}$
and area of triangle is
1/2*altitude *base =1/2*x/2*√5*4/3*x=
$\sqrt{5} \div3 \times {x}^{2}$
area of circle is =
$\pi {x \div 4\pi}^{2} \times$
=x/4π