How many diagonals does a regular hexagon have? - Electrical Diary -->

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How many diagonals does a regular hexagon have?

 What is Diagonal?

In a given regular polygon, a line segment that joins any two non-consecutive vertices of the polygon is called diagonal the polygon. The number of diagonal of a polygon or other shape depends on the type of shape and the number of sides of the shape. Diagonal of different types of shapes are shown below:
Number of Diagonal

The formula for Calculation of the Number of Diagonals of  Polygons

As we discuss above the number of diagonals of polygons of any given shape depends on the type of shape and the number of sides of the shape. let a polygon has N sides then the total number of diagonals of the polygon will be given by the formula.
Number\ of\ diagonal = \frac{N(N-3)}{2}

The number of diagonals of a regular hexagon ?

To find out the answer to this question, We will above given formula. A regular Hexagon has a total number of Sides is 6 which is N= 6. Now Put this value in the above-given formula and solve for the Number of Diagonal.
Number\ of\ Diagonal=\frac{6(6-3)}{2}=9
The total number of diagonals of the Regular Hexagon is 9.
diagonal of hexagon

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