The numerical value of perimeter and area of a circular field is equal. The length of diagonal of square circumscribe by a circle is

Given that the perimeter and area of a circular field are equal.

We know that circumference of the circle = 2πr

Also, the area of a circle = πr²

According to the question,

2πr = πr²

⇒ r = 2 units

For a square inscribing the circle,

Diagonal of the square = diameter of the circle

⇒ Diagonal of the circle = 2r = 4 units