Question

a wire can be bent in the form of a circle of radius 56 cm. if it is bent to form a square then it's area will be

Answer 1

length of wire = = 2 *(22/7 )*56 = 352 cm
side of the square = 352/4 = 88cm
area of the square = 88*88 = 7744sq cm

Answer 2

The radius of the circle formed by bending the wire = 56 cm
The length of the wire = circumference of the circle
The length of wire = 2πr
                              = 2×(22/7)×56
                              = 352 cm
The length of the wire is also = perimeter of the square 
⇒perimeter of the square = 352 cm
⇒ 4× side = 352
⇒ side = 352/4
⇒ side = 88
Now area of the square = side²
                                       = 88×88
                                       = 7744cm²