Correct Answer - Option 2 : 1296/π
Given:
A wire is bent in a square of perimeter 72 m
Formulae Used:
Perimeter of a square = 4 × (length of the side)
Perimeter (Circumference) of a circle = 2πr, where r = radius of the circle
Area of a circle = πr2
Calculation:
Perimeter is equal to the total length of the wire and when shaped to circular length is equal to the circumference of the circle
Circumference = 2πr = 72
⇒ r = 72/2π
⇒ r = 36/π
Now, area of circle = π × (36/π)²
⇒ π × (1296/π²)
∴ Area of circle is 1296/π