The area of a circle is equal to that of a square. The circumference of the circle is greater than that of the square Is that right? Why

The area of a circle is equal to that of a square. The circumference of the circle is greater than that of the square Is that right? Why

No, the teacher taught me that if the perimeter of a circle and a square is equal, then the area must be larger. Conversely, only when the perimeter of a circle is smaller than that of a square, can the area be equal