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A wire is bent in a square of perimeter 72 m. If the same wire is bent to form a circle, find the area of that circle? 


1. 36/π
2. 1296/π
3. 36/π²  
4. 1296/π²

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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

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