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Q.

A copper wire when bent in the form of a square, encloses an area of  Question Image . If the same wire is bent in the form of a circle, find the area enclosed by it.

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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is B.

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Detailed Solution

We have area of Question Image. We have to find the area enclosed by the circle. The perimeter in each case should be the same.
Perimeter of square = perimeter of circle.
Area of square= Question ImageSide = 22
Given a square encloses an area of Question ImageQuestion Image Perimeter of square = perimeter of circle.
 Question Image Area enclosed by copper wire bent in circle,
= πr2
= 22/7 × 14 × 14
= 22 × 28
= 616 cm2
We have area enclosed by copper wire bent in circle  is Question Image.
So, option 2 is correct.
 
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