Four circular cardboard pieces of radii 7cm are placed on a paper in such a way that each piece touches the other two. Find the area of the portion enclosed between these pieces.

Four circular cardboard pieces of radii 7cm are placed on a paper in such a way that each piece touches the other two. Find the area of the portion enclosed between these pieces.

1. A

2. B

3. C

4. D

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Solution:

Let the diagram of the given situation be,
Given that the radius of one circle is  , and length of each side of the squares is  .
Thus, the area of the square is,

Now, the area of the circle is given by,

The area of the shaded region is given by,

Hence, the correct option is 3.

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