How to find the area enclosed by four circular pieces touching each other?

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SUMMARY

The area enclosed by four circular pieces, each with a radius of 7 cm, can be determined by first forming a square using the centers of the circles. The area of the square is calculated, and then the area of the sectors formed by the circles needs to be subtracted from this square area. The enclosed area is equivalent to four times the area of a sector from a circle that is circumscribed within the square.

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Four circular cardboard pieces each of radius 7cm are placed in such a way that each piece touches two other pieces.Find the area of the encosed by the four pieces.Can anyone help me to solve this problem?
 
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1. Draw a diagram

2. Join the centers of the 4 circles to form a square.

3. Look at it and work out what area you need to subtract from the sqaure in order to leave the desired "enclosed area" remaining.
 
Alternatively, it should be pretty obvious that the enclosed area is four times a sector given by a circle circumscribed inside a square.
 

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