Q. 55.0( 5 Votes )

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.

Answer :

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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