# A wire is in the form of a square, encloses an area of 1936 cm square. if the same wire is rebent into circle. find the area enclosed

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by alishaagra99

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by alishaagra99

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we know that area of square = a²

so , a²=1936 cm. sq.

a = √1936

a = 44cm

as per the problem, same wire is used to rebent into a circle..

it means , perimeter of square is equal to (=) circumference of circle..

so, perimeter of circle = 4a

4×44=88cm ( we got a=44)

circumference of circle = 88cm

But, we know that, circumference of circle = 2πr

so, 2πr = 88

2×22÷7×r = 88

r = 88×7÷2×22

r=14cm

22÷7×14²

616 sq. cm.

therefore,area of rebent circle is 616 cm²