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The formula is: 0.5*(n2-3n) whereas n is the number of sides

So: 0.5*(352-105) = 560 diagonals

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Related Questions

What is the total number of diagonals in a 7-sided polygon?

14 diagonals


What is the total number of diagonals in a polygon with eight sides?

It has 20 diagonals


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


How many diagonals from one vertex in 16gon?

Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon


What is the total number of diagonals?

Total diagonals formula: 0.5*(n^2 -3n) whereas n is the number of sides of the polygon


What is the total number of diagonals in a heptagon?

A 7 sided septagon or heptagon has 14 diagonals


How many diagonals can be drawn from one vertex of a polygon of 50 sides?

47 sides. Take a vertex of an n-sided polygon. There are n-1 other vertices. It is already joined to its 2 neighbours, leaving n-3 other vertices not connected to it. Thus n-3 diagonals can be drawn in from each vertex. For n=50, n-3 = 50-3 = 47 diagonals can be drawn from each vertex. The total number of diagonals in an n-sided polygon would imply n-3 diagonals from each of the n vertices giving n(n-3). However, the diagonal from vertex A to C would be counted twice, once for vertex A and again for vertex C, thus there are half this number of diagonals, namely: number of diagonals in an n-sided polygon = n(n-3)/2.


How many diagonals does a 8 sided polygon have?

An eight-sided polygon has 8 vertices. Consider1st vertex = 7 diagonals to other vertices2nd vertex = 6 diagonals to other vertices (since one has now been used)3rd vertex = 54th vertex = 45th vertex = 36th vertex = 27th vertex = 18th vertex = 0, so7+6+5+4+3+2+1 = 28Improved Answer:-Formula for finding diagonals of a polygon 0.5*(n2-3n) when n is the number of sides0.5*(82-24) = 20 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 is the total number of diagonals octacontakaidigon?

An octacontakaidigon is a polygon with 82 sides. The formula to calculate the number of diagonals in a polygon is ( \frac{n(n-3)}{2} ), where ( n ) is the number of sides. For an octacontakaidigon, this would be ( \frac{82(82-3)}{2} = \frac{82 \times 79}{2} = 3239 ). Thus, an octacontakaidigon has a total of 3,239 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 diagonals can be drawn from one vertex of a seven sided polygon?

There can be 14 lines in a seven side shape * * * * * That is the total number of diagonals from ALL vertices. Not what the question asked, though. From one vertex, there can be 4. One to every other vertex except for itself and one each on either side.