A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, find the area of the circle. (Use π = 22/7)

Question

Question

This question was previously asked in

RRB ALP Previous Paper 3 (Held On: 9 Aug 2018 Shift 3)

Answer 1

Area of square = 121 cm²

Let the side of square be ‘a’ cm,

⇒ a²= 121 cm²

⇒ a = 11 cm

Now, the length of the wire = Perimeter of square

⇒ Length = 4 × 11 = 44 cm

Also, Length of wire = Perimeter of circle

⇒ 2πr = 44 cm

⇒ 2 × 22/7 × r = 44 cm

⇒ r = 7 cm

Area of circle = πr²

∴ Area = 22/7 × 7 × 7 = 154 cm²