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 = πr^{2}

∴ Area = × 7 × 7

= 22 × 7

_{= 154 cm}^{2}

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 cm^{2}

Hence,

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

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