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Which is the regular polygon are the diagonals double the number of sides?
Wiki User
∙ 12y ago
The number of diagonals in a polygon with n sides is n*(n-3)/2
This is double the number of sides so n*(n-3)/2 = 2*n
That is n*(n-3) = 4n
Dividing both sides by n gives (n-3) = 4
So that n = 7.
A heptagon has 7*4/2 = 14 diagonals.
Wiki User
∙ 12y ago
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What is the formula to determine the number of diagonals in a polygon?
It is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
Number of diagonals in shapes?
number of diagonals = n(n-3)/2 n - number of sides of the polygon
How many triangles are formed by the diagonals in a 21 sided polygon?
The number of triangles formed by the diagonals of a 21 sided polygon is C(21,3) = 21x20x19/3x2x1 = 1,330.
How many diagonals does a polygon with 38 sides have?
1/2*(n2-3n) = 665 diagonals where n means number of sides
How do you find the number of sides of a polygon given the number of diagonals?
Using the formula (x)(x-3)/2 = Diagonals ; simply replace the diagonals with the number of diagonals you're given. Then, you'll havev (x)(x-3)/2 = Diagonals. Simplify it, and you'll be given x(power of 2) - 3X = (2)(Diagonals). Subtract the amount of diagonals from both sides, and you'll have x(power of 2) - 3X - 2Diagonals = 0. From there, use the quadratic formula to find the number of sides the polygon has.
Does the number of diagonals a polygon has depend on if it is regular?
No, as long as the polygon is convex.
What are the number of diagonals for a regular polygon with 12 sides?
It is: 0.5*(144-36) = 54 diagonals
What is the Practical application for finding the number of diagonals in a regular polygon?
The diagonals (drawn from a point) help in dividing the regular polygon into smaller triangles. The sum of the areas of these smaller triangles help in determining the total area of the polygon.
What rule can be used to find number of diagonals that can be drawn from one vertex of regular polygon?
You can use the formula D=S-2 where D is the number of possible diagonals and S is the number of sides the polygon has.
Which polygon has number of sides is equal to the number of diagonals?
The five sided Polygon has 5 diagonals
What is the total number of diagonals in a regular polygon with an interior angle of 120 degrees?
If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals
How many sides are there in the polygon if the number of diagonals is twice as the number of sides?
A 7 sided polygon has 14 diagonals
What is the formula to determine the number of diagonals in a polygon?
It is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
How do you get the total number of diagonals of a polygon?
The formula is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
What is the relationship between the number of sides of a polygon and the number of diagonals?
Number of diagonals = 1/2*(n2-3n) where n = the number of sides of the polygon.
How many number of side does it have in a closed polygon with 14 diagonals?
A polygon with 14 diagonals will have 7 sides
What is the equation for the number of diagonals that can be formed in a polygon?
The equation is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
