Since the area of the circle will always be a transcendental number and the area of a square has to be an integer, this can never happen in a finite number of steps. Therefore, you cannot square a circle.
Are square Circles real?
And since light always travels in a straight path, each of the segments AB, BC, CD, and DA are equal straight lines, which furthermore meet one another at equal angles. 7 The whole light ray ABCDA therefore constitutes a perfectly square circle, so square circles are at the very least a physical possibility.
What is the illness of squaring a circle?
De Morgan also suggested the term 'morbus cyclometricus' as being the 'circle squaring disease'.