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