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how many diagonals are there iin a polygon of 11 sides

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Q: How many diagonals are there in a polygon of 11 sides?
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How many diagonals does an 11-sided polygon have?

An 11 sided polygon has 44 diagonals.


How many diagonals are there in an 11-sided figure?

There are 44 diagonals in an 11-sided polygon. heres how to find the amount of diagonals: S=amount of sides 1/2 S(S-3)


How many diagonals would a 12-sided n-sided figure have?

number of diagonals in an n-sided polygon is n(n-1)/2 - n If the polygon has 12 sides, number of diagonals is 12(12-1)/2 -12 = (12)(11)/2 -12 = 132/2 - 12 = 66-12 = 54


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.


What is the number of sides of polygons which has 44diagonals?

11 sides The diagonal of a polygon is a line segment that joins two non adjacent vertices. So for a n-sided polygon, each vertex can be joined to n-3 other sides. So there ought to be n x (n-3) diagonals for a n-sided polygon; however, each diagonal is counted twice, once by the vertex at each end. So the number of diagonals is: diagonals = n (n-3) / 2 So for 44 diagonals: 44 = n (n-3) / 2 88 = n2 - 3n n2 - 3n - 88 = 0 (n - 11)(n + 8) = 0 n = 11 or -8 Since the number of sides can't be negative, the number of sides is 11, a hendecagon (or undecagon)

Related questions

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.


What are the number of sides if the polygon has 44 diagonals?

11


How many diagonals does an 11-sided polygon have?

An 11 sided polygon has 44 diagonals.


How many diagonals are there in an 11-sided figure?

There are 44 diagonals in an 11-sided polygon. heres how to find the amount of diagonals: S=amount of sides 1/2 S(S-3)


What is the name of a polygon that has 44 diagonals?

It is an undecagon which has 11 sides Check: 0.5*(112-33) = 44 diagonals


How many side in a 44 diagonal?

An 11 sided polygon has 44 diagonals


How many sides does a 1620 degree polygon have?

11 sides


What is the polygon that has11 sides?

A polygon with 11 sides is an undecagon


How many diagonals would a 12-sided n-sided figure have?

number of diagonals in an n-sided polygon is n(n-1)/2 - n If the polygon has 12 sides, number of diagonals is 12(12-1)/2 -12 = (12)(11)/2 -12 = 132/2 - 12 = 66-12 = 54


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 sides are there in an undecagon?

An undecagon is an 11 sided polygon


What is the number of sides of polygons which has 44diagonals?

11 sides The diagonal of a polygon is a line segment that joins two non adjacent vertices. So for a n-sided polygon, each vertex can be joined to n-3 other sides. So there ought to be n x (n-3) diagonals for a n-sided polygon; however, each diagonal is counted twice, once by the vertex at each end. So the number of diagonals is: diagonals = n (n-3) / 2 So for 44 diagonals: 44 = n (n-3) / 2 88 = n2 - 3n n2 - 3n - 88 = 0 (n - 11)(n + 8) = 0 n = 11 or -8 Since the number of sides can't be negative, the number of sides is 11, a hendecagon (or undecagon)

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