Length of Side of Inscribed Square

A circle has a radius of 5 units. A square is inscribed within this circle. What is the length of each side of the square?

To find the length of the side of the square inscribed in a circle, we can use the relationship between the radius of the circle and the side length of the square.

If the radius of the circle is denoted as $r$, the length of each side of the inscribed square $s$ is given by the formula:

$$ s = r imes\frac{ ext{√}2}{2} $$

Given $r = 5$, calculate the length of the side of the square.