Question

The ratio of the area of ​​a circle to that of the largest square that can be formed inside it​

Answer 1

Answer:

1:2

Step-by-step explanation:

let the radius =x

then area of cicle =

${x}^{2}$

the largest square is the diameter of circle = diagonal of square

so 2x=diagonal of square

side of square =

$\sqrt{2} \frac{2x}{2}$

$\sqrt{2} x$

area of square =

${ \sqrt{2} x}^{2}$

$2 {x}^{2}$

ratio of area of circle to area of square=

$\frac{ {x}^{2} }{2 {x}^{2} }$

=

$\frac{1}{2}$

1:2

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