# A wire 44cm long is bent to form a square. A ribbon 44 cm long is made to form a circular ring. Which encloses more area and by how much?

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by charlotteds9

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by charlotteds9

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A wire 44 cm long is bent to form a square of side, s.

Length of a wire, l = Perimeter of a square = 4(s)

44 cm = 4.s

s = 44/4 = 11 cm.

A ribbon 44 cm long is made to form a circular ring of radius, r.

Length of the ribbon, l = Circumference of the ring = 2πr

44 cm = 2πr = 2(22/7).r

r = 7 (44) / 44 = 7 cm.

The area of the circular ring is greater than the area of the square and hence,

As, (154 - 121) is equal to 33, the areas vary by a difference of

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