Solution: The length of a square is 1 m, so the four sides are equal as the diagonal of the quadrilateral as the auxiliary line. Then the hypotenuse can be found according to Pythagorean theorem. According to the square of the circle area r = 3. 14R, the radius of the circle can be obtained by dividing the hypotenuse of the diagonal of the square by 2, and then multiplying it by the area of the circle. Thank you! ! !