From what I just watched you first use the compass w/o caring about it's setting to establish a line perpendicular to a line you first drew with the straight edge.If the line is not graded , then about what the compass setting we can talk?
Hello,Remember that length is not unitless, so you have to pick a unit in order to assign a number. If you measure the side of the square in terms of multiples of the distance between the compass points, then there is a 100 % chance it will be a transcendental number. Other than that, I agree with romsek. A randomly chosen value has 100 % chance of being transcendental.