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Q: How many diagonals are there in a polygon of n sides?
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Related questions

How many diagonals to a dodecagon?

A polygon with n sides has 1/2*n*(n - 3) diagonals. So, for a polygon, with n = 12, there are 54 diagonals.


How many diagonals does a convex polygon with 23 sides have?

A polygon with n sides has n*(n - 3)/2 diagonals. So n = 23 gives 23*20/10 = 230 diagonals


The number of diagonals that can be drawn in a polygon with n sides can be determined by nn - 32 How many diagonals can be drawn in a polygon with 10 sides?

38 diagonals


How many diagonals does a 20-sides polygon have?

A polygon with n sides had n*(n-3)/2 diagonals. So a 20 sided polygon would have 20*17/3 = 170


How many sides a polygon has with 10 diagonals?

Such a polygon does not exist. A polygon with n sides has 0.5*n*(n-3) diagonals If there are 10 diagonals then 0.5*n*(n-3) = 10 which requires n2 - 3n - 20 = 0 which has no integer roots.


How many diagonals does a regular polygon have?

For a polygon with n sides, there would be n*(n-3)/2


How many diagonals does polygon have?

In a polygon with n sides, we have n(n-3)/2 diagonals. In a convex polygon with n sides, you can draw n-3 diagonals from each vertex, but you are counting each one twice you so you need to divide by do. That is why we have n(n-3) divided by 2


How many diagonals does a 11 sided polygon have?

You can find the number of diagonals in a polygon using the formula n(n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals.


How many diagonals are there in a hexagon?

In a polygon with n sides there are n*(n-3)/2 diagonals. For a hexagon, n = 6 giving 9 diagonals in all.


How many diagonals does a heptagon have?

A polygon with n sides has n(n-3)/2 diagonals. A heptagon has 7 sides giving it 7(7-3)/2 = 14 diagonals.


Is a polygon with 8 sides have 15 diagonals?

A normal convex polygon cannot have 15 diagonals. If it has n sides, it has n*(n-3)/2 diagonals and this is equal to 15 if n = 7.18. However, it is not possible for a polygon to have a fractional side.


How many diagonals are in a nine sided figure?

A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.