Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square?

It is given in the question that,


Length of wire = Circumference of circle = 44 cm


We know that,


Circumference of the circle = 2πr


Thus,


44 = 2 × × r


44 = × r


r = 7 cm


We know that,


Area of the circle = πr2


Area = × 7 × 7


= 22 × 7


= 154 cm2


Now, according to the question


If the wire is bent into a square then the length of each side of square would be:


44/4 = 11 cm


We know that,


Area of square = (Side)2


Area = (11)2


= 11 × 11


= 121 cm2


Hence,


It is clear that circle encloses more area as compared to square

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