Q. 15 A4.5( 2 Votes )

Find the number of diagonals of

a hexagon

Answer :

Given that we need to find the no. of diagonals of


A hexagon


We know that the hexagon has 6 vertices and each side and diagonal can be formed by joining two vertices of a hexagon,


We know that hexagon has 6 sides,


Let us assume the no. of diagonals of the hexagon are N,


N = (no. of lines formed on joining any two vertices) – (no. of sides of the hexagon)


N = 6C2 – 6


We know that ,


And also n! = (n)(n – 1)......2.1





N = 15 – 6


N = 9


The total no. of diagonals formed is 9.


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