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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.
How many diagonals in a 9 sided polygon?
It depends. It doesn't have to always be the same shape. So it can be 0, it can be 1, as long as it has straight lines and is a closed figure, it's a polygon. * * * * * What? 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.
How many parallel sides in 9-sided polygon?
The formula for the number of diagonals that an N-sided polygon has is# diagonals = N(N-3)/2N(N-3)/29(N-3)/29*(9-3)/29*6/2 = 54/227
How many diagonals do hexagons have?
The number of diagonals in an n-sided polygon is given by nC2 - n (where n is the number of sides of the polygon) or in the expanded form: factorial (n) _______________________ {factorial (2) * factorial (n-2)} substituting (n = 6) for a hexagon we get the number of diagonals as 9. Similarly, substituting (n=5) for a pentagon we get the number of diagonals as 5.
How many sides would you find in a polygon which has 42 diagonals?
Defining a diagonal as any two vertices that are not connected by an edge (non-adjacent) of the polygon, you can determine the amount of diagonals using the following formulas = sides in polygon(s*(s-3))/2So,(3*(3-3))/2 = 0(4*(4-3))/2 = 2(5*(5-3))/2 = 5(6*(6-3))/2 = 9(7*(7-3))/2 = 14(8*(8-3))/2 = 20(9*(9-3))/2 = 27(10*(10-3))/2 = 35(11*(11-3))/2 = 44So, the polygon would have to have somewhere between 10 and 11 sides. Since a polygon can not have fractional amount of sides, no polygon exists that has 42 diagonals.
How many diagonals does a polygon with 6 sides have?
9
How many side are there in a convex polygon having 27 diagonals?
9 sides because a nonagon has 27 diagonals
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.
How many diagonals are in a 9 sided polygon?
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon. So: 0.5*(81-27) = 27 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 in a 9 sided polygon?
It depends. It doesn't have to always be the same shape. So it can be 0, it can be 1, as long as it has straight lines and is a closed figure, it's a polygon. * * * * * What? 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.
What regular polygon has 27 diagonals?
It has 9 sides and it can be an regular or a irregular polygon which is called a nonagon Check: 0.5*(81-27) = 27 diagonals
How many parallel sides in 9-sided polygon?
The formula for the number of diagonals that an N-sided polygon has is# diagonals = N(N-3)/2N(N-3)/29(N-3)/29*(9-3)/29*6/2 = 54/227
How many diagonals are in a 7 sided polygon?
A 4-sided polygon has 2 diagonals. A 5-sided polygon, 5. 6-sided, 9. By induction, an n-sided polygon has 'n*(n-3)/2' diagonals. "n" is how many sides a shape has. so, (7)*(7-3)/2 now we have, 7*4/2 so, 28/2 = 14 Therefore, a 7-sided polygon would have 14 diagonals.
What regular polygon has 9 diagonals?
A regular octadecagon (an eighteen sided polygon) would have nine diagonals.
How many diagonals do hexagons have?
The number of diagonals in an n-sided polygon is given by nC2 - n (where n is the number of sides of the polygon) or in the expanded form: factorial (n) _______________________ {factorial (2) * factorial (n-2)} substituting (n = 6) for a hexagon we get the number of diagonals as 9. Similarly, substituting (n=5) for a pentagon we get the number of diagonals as 5.
How many sides does a polygon have if it has 27 diagonals?
Let the number of sides be n and use the formula: 1/2n(n-3) = diagonals 1/2n(n-3) = 27 Multiply both sides by 2 and then form a quadratic equation: n2-3n-54 = 0 Solving the above quadratic equation works out as: n = -6 or n = 9 it must be the latter because the sides can't be negative Therefore the polygon has 9 sides.
