Question

Shazil 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 = \(\frac{22}{7}\))

Answer 1

Length of the wire = 44 cms

Total length of the circle = perimeter of the circle

∴ radius = 7 cms.

∴ Area of the circle = πr2 = \(\frac{22}{7} \) x 7 x 7

∴ Length of wire = perimeter of the square = 154 sq.cms

44 = 44

Side of the square = \(\frac{44}{4} = 11cms\)

Area of the square = a² = 11 × 11 = 121 sq.cms.

∴ The area of the circle is more means the circle encloses more area.