Complete the Enclosing Square

What happens here

Continue the process using the speed square to draw the remaining two sides of the enclosing square. First, position the speed square tangentially to the rightmost point of the circle and draw the second vertical line, ensuring it is parallel to the first vertical line. Then, position the speed square tangentially to the bottommost point of the circle and draw the second horizontal line, making sure it is parallel to the first horizontal line and connects with the second vertical line. This completes the perfect square that fully encloses the circle.

Goal: Construct a complete square that is perfectly tangent to all four sides of the circle.