# 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? ? .

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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

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