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? ( Take π = 22/7)

Total length of the wire = 44 cm
∴ the circumference of the circle = 2πr = 44 cm
⇒ 2×22/7xr=44
⇒ r = 44×7/2×22 = 7 cm
Now Area of the circle =πr²
= 22/7x7x7=154 cm²
Now the wire is converted into square.
Then perimeter of square = 44 cm
⇒ 4 x side = 44
⇒ side = 44/4 = 11 cm
Now area of square = side x side = 11 x 11 = 121 cm²
Therefore, on comparing, the area of circle is greater than that of square, so the circle
enclosed more area.

Class 7 Maths Chapter 11 Exercise 11.3

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