A steel wire is 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.

Given: Area of square = 121 cm²

To find: Area of the circle.

Explanation:

We know area of square = side²

⇒ side² = 121

⇒ side = √ 121

⇒ side = 11 cm

Also, perimeter of the square = 4 × side

⇒ Perimeter = 4 × 11

⇒ Perimeter = 44 cm

As Now wire is bent in the form of a circle,

The perimeter of both shapes will be same.

⇒ Circumference of circular wire = Perimeter of square wire

⇒ 2πr = 44

⇒ r = 7 cm

We know area of the circle = πr²

= 154 cm²

Hence area of circle is 154 cm².