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.
Given: Area of square = 121 cm2
To find: Area of the circle.
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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