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

[suhaskowshik_92]

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?

 

[uart]

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.

 

[Werg22]

Alternatively, it should be pretty obvious that the enclosed area is four times a sector given by a circle circumscribed inside a square.