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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



Given , area of square = 1936 cm. sq.
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
Area of circle = πr²
616 sq. cm.
therefore,area of rebent circle is 616 cm²

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