How Many Diagonals Are There In A Hexagon - Maths Q-A

Calculate the number of diagonals:The number of diagonals in an n sided polygon is given as,𝐷_𝐧=𝐧(n 3)/2A hexagon has 6 sides, i.e., n=6.Thus, the number of dia ...

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Standard XII

Mathematics

Combination Based on Geometry

How Many Diag...

Question

How many diagonals are there in a hexagon?

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Solution

Calculate the number of diagonals:
The number of diagonals in an $n$ sided polygon is given as,
$D_{n} = \frac{n (n - 3)}{2}$
A hexagon has $6$ sides, i.e., $n = 6$ .
Thus, the number of diagonals in a hexagon is,
$\begin{array}{cl} D_{6} = \frac{6 (6 - 3)}{2} \\ \Rightarrow & D_{6} = 3 \times 3 \\ \Rightarrow & D_{6} = 9 \end{array}$
Therefore, the number of diagonals in a hexagon is $9$ .

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How many diagonals are there in a hexagon?

Calculate the number of diagonals:The number of diagonals in an n sided polygon is given as,Dn=n(n-3)2A hexagon has 6 sides, i.e., n=6.Thus, the number of diagonals in a hexagon is,D6=6(6-3)2⇒D6=3×3⇒D6=9Therefore, the number of diagonals in a hexagon is 9.