Diagonals of Hexagon, Calculate Number of Hexagon Diagonals both with and without a Formula

This video is about Diagonals of Hexagon. How to calculate the number of diagonals of Hexagon without a formula. How to calculate the number of diagonals of Hexagon using the formula of diagonals of a polygon.

Transcript
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Diagonals of Hexagon

How many diagonals does a Hexagon have?
A diagonal is a line connecting two non-adjacent vertices.
A Hexagon is a six-sided polygon, it has six sides and six vertices.
Each vertex in a Hexagon has three non-adjacent vertices

From each of the vertex, in a hexagon, three diagonals can be drawn connecting to the three non-adjacent vertices.

If three diagonals are drawn from each vertex of a hexagon, then in that case each diagonal will be drawn twice, as each diagonal connects to two vertices

Considering that if 3 diagonals can be drawn from each of the 6 vertices and that in this case each diagonal will be drawn twice, then the total number of diagonals of a hexagon, can be calculated as follows
(3 * 6) / 2 = 9

Thus a Hexagon has 9 diagonals.

How to calculate the number of diagonals of a hexagon using the formula?

The formula for the number of diagonals of a polygon is as follows
n(n-3)/2

Here n refers to the number of sides of a polygon

A hexagon has 6 sides so here n equals 6

The number of diagonals of a hexagon can be calculated as follows
6(6-3)/2 = 9

Thus, A hexagon has 9 diagonals.
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