Squaring the circle basically is a quandary proposed by primeval geometers. It is the challenge to create a square with the similar area as a given circle by applying only a limited number of steps with compass straightedge.

More theoretically and more accurately it may be taken to ask whether specific axioms of Euclidean geometry relating to the existence of lines and circles involve the reality of such a square. In the year 1882, it was stated that the task was impossible to perform, as an outcome of the fact that pi is transcendental, not algebraic; it is not the root of any polynomial with cogent coefficients.

The expression quadrature of the circle is occasionally applied synonymously, or may address to approximate or numeric means of finding the total area of the circle.

More theoretically and more accurately it may be taken to ask whether specific axioms of Euclidean geometry relating to the existence of lines and circles involve the reality of such a square. In the year 1882, it was stated that the task was impossible to perform, as an outcome of the fact that pi is transcendental, not algebraic; it is not the root of any polynomial with cogent coefficients.

The expression quadrature of the circle is occasionally applied synonymously, or may address to approximate or numeric means of finding the total area of the circle.