Q. 94.3( 134 Votes )

# 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?

Answer :

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**Radius = 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 the square would be:

44/4 = 11 cm

We know that,

Area of square = (Side)^{2}

Area = (11)^{2}

= 11 × 11

**= 121 cm ^{2}**

Hence, the Area of Circle is greater than Area of Square

**The circle encloses more area as compared to the square.**

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