Question

A copper wire is bending in the form of a square having an area of 484 cm square. if the same wire is bend in the form of a circle, what is the area of circle? ? .

Answer 1

area of square = side× side
484 = side× side
therefore side = √484
side = 22 cm
perimeter of square = 4× side
                                 = 4×22
                                 =88 cm
perimeter of square = perimeter of circle
88 cm = 2πr
∴ r = 88÷ 2π
r = 14 cm
area of circle = πr²
∴ area of circle = π×14×14
                         = 576 cm²

Answer 2

given,
area of square = 484 sq.cm
s × s = 484
s =√484 = 22 cm
then, the perimeter of square = 4 × s
                                               = 4× 22 = 88 cm
perimeter of square = perimeter of circle
88 = 2πr
88 = 2 × 22/7 × r
88× 7/ 44 = r
14 cm = r
required area of circle = πr²
                                   = 22/7 × ( 14)²
                                   = 22/7 × 196
                                   = 22× 28
                                   = 616 cm²