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**A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.**

Answer:

Given,

Area of the square = 121 cm2

So, side = √121 = 11 cm

Now,

Perimeter = 4 a = 4 × 11= 44 cm

And, the circumference of the circle = 44 cm

∴ Radius = (44 x 7)/ (2 x 22) = 7cm

Therefore, area of the circle = πr2 = (7)2

= 22/7 × 7 × 7

= 154 cm^{2}

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