0
740
The number of digaonals is given by n(n-3)/2, where n is the number of sides (or vertices) of a polygon:
40(40-3)/2=20*37=740
For a proof, see:
http://www.artofproblemsolving.com/Wiki/index.php/Diagonal
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∙ 13y ago
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Does a 40 sided polygon have 6840 diagonals?
The sum of the angles of a regular n-sided polygon is equal to (n - 2) x 180 degrees.Therefore, the sum of the angles of a regular 40-sided polygon (tetradecagon) is equal to (40 - 2) x 180 = 6840 degrees. Therefore, 6840 refers to the sum of the degrees, not the number of diagonals.The number of diagonals of an n-sided polygon is given by n(n-3)/2. So a 40-sided polygon has 40*37/2=740 diagonals.
What do you call a 40 sided polygon?
tetracontahedron
What is a forty sided polygon called?
40-gon.
What is the name of a polygon with a sides of 30 40 50 60 70 80 90 100 1000 10000?
I find the name "30-sided polygon", "40-sided polygon", etc. just fine.
What is a forty-two sided polygon called?
A 40 sided polygon is call a Tetracontagon. Try saying that ten times fast. :) Hope this helped.
How many diagonals are there in a 40-sided polygon?
0.5*(402-120) = 740 diagonals
How many diagonals does a 44 sided polygon has?
It has 40 diagonals.Improved Answer:-Using the formula for diagonals of a polygon: 0.5*(442-132) = 902 diagonals
Does a 40 sided polygon have 6840 diagonals?
The sum of the angles of a regular n-sided polygon is equal to (n - 2) x 180 degrees.Therefore, the sum of the angles of a regular 40-sided polygon (tetradecagon) is equal to (40 - 2) x 180 = 6840 degrees. Therefore, 6840 refers to the sum of the degrees, not the number of diagonals.The number of diagonals of an n-sided polygon is given by n(n-3)/2. So a 40-sided polygon has 40*37/2=740 diagonals.
How many sides a 40 sided polygon have?
A 40-sided polygon has 40 sides. Count again, to be sure.
What is a 40 sided polygon?
The name of a 40 sided polygon is Tetracontagon.
What do you call a 40 sided polygon?
tetracontahedron
What is the exterior angle of a 9 sided polygon?
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
What is a 40 sided polygon called?
It is called Tetracontagon.
What is a forty sided polygon called?
40-gon.
What is the interior of a 40 side polygon?
The interior angles of a 40 sided polygon add up to 6840 degrees
What is the name of a polygon with a sides of 30 40 50 60 70 80 90 100 1000 10000?
I find the name "30-sided polygon", "40-sided polygon", etc. just fine.
What is the sum of the interior angle measures of a 40- sided convex polygon?
The sum of the interior angles of a convex polygon with n sides is given by (n-2)x180o. So for a 40 sided polygon n=40; thus (40-2)x180o = 38x180o = 6840o.
