Number of Regions in Plane Defined by Given Number of Lines/Examples/6

Example of Number of Regions in Plane Defined by Given Number of Lines
With $6$ lines, the plane can be divided into a maximum of $22$ regions:


 * LinesDissectingPlane-6.png

Proof
From Number of Regions in Plane Defined by Given Number of Lines, the maximum number $L_n$ of regions in the plane that can be defined by $n$ straight lines in the plane is:
 * $L_n = \dfrac {n \left({n+1}\right)} 2 + 1$

Here $n = 6$, so: