Let the \(ABCDEF\) be a regular hexagon. \(6\) different circles are drawn with each of the vertices as centres and with the same radius \(r\). (See figure)
 
12.svg
 
Identify the area of the shaded portion.
 
Ans:
 
The total angle of a hexagon is
\(^\circ\).
 
\(\angle A=\)
\(^\circ\).
 
The area of the shaded region is
.
Answer variants:
\(120\)
\(2\)\(\pi r^2\)
\(60\)
\(720\)
\(6\)\(\pi r^2\)