Answer:
[tex]5.971\ cm[/tex]
Step-by-step explanation:
The computation of x is given below:
As we know that
[tex]Area = \pi r^2\\\\56 = \pi r^2\\\\r^2 = \frac{56}{\pi} \\\\r = \sqrt{\frac{56}{\pi} }[/tex]
= 4.22
Now the diameter of the square would be similar to the diameter of the circle
So,
[tex]x\sqrt{2} = 2\times r \\\\x = \frac{2\times r}{\sqrt{2} } \\\\= \frac{2\times 4.22}{\sqrt{2} } \\\\= 5.971\ cm[/tex]
