A square and a circle have the same area, and the perimeter of the square must be longer than that of the circle reason?

A square and a circle have the same area, and the perimeter of the square must be longer than that of the circle reason?

If the side length of the square is R and the radius of the circle is r, then the condition is R ^ 2 = pi * R ^ 2, the perimeter of the square is 4R, and the perimeter is 2 * pi * r; because 4R > 0,4 * pi * r > 0, consider their square 16 * R ^ 2 and 4 * PI ^ 2 * R ^ 2. Because 16 * R ^ 2 = 16 * pi * R ^ 2 > 4 * PI ^ 2 * R ^ 2, (because Pi2 * pi * r holds)