# 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.

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