A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

The correct answer is: 154 cm2

It is given that Area of  Square  =  121 cm²
(side)²  = 121 cm
side =  = 11 cm
Perimeter of square = 4 × side
= 4 × 11 = 44 cm
Now, since same wire is used to make circle it implies that perimeter of square which is the length of the wire will be equal to perimeter of the circle.
Perimeter of circle  =  Perimeter of squar
2  r =    44
2 () r = 44
r = 7  cm
Now, Area of circle  =  r²
=  × 7²  =  22 × 7 = 154 cm²