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What are two numerical ways in finding the total sum of diagonals in any polygon?
1. Number of diagonals = 0.5*(n2-3n) where n represents the number of sides
2. If a polygon had 8 sides write out the numbers in descending order leaving out the first 2 numbers and the last number and adding them up gives the amount of diagonals:-
6+5+4+3+2 = 20 diagonals
If it had 9 sides then do the same:-
7+6+5+4+3+2 = 27 diagonals
What else can I help you with?
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 in a polygon with eight sides?
It has 20 diagonals
What is the total number of diagonals in a 7-sided polygon?
14 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
Total of 1175 diagonal can be drawn in a polygon?
It works out that a polygon with 1175 diagonals has 50 sides
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 difference between finding the perimeter of a polygon and finding the area of a polygon?
Finding the perimeter of a polygon is finding how far it is in total along all the edges of the polygon; whereas finding the area of a polygon is finding how much space the polygon covers. The perimeter of a polygon forms the boundary around the area of the polygon.
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 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
What is the total number of diagonals in a 35 sided polygon?
The formula is: 0.5*(n2-3n) whereas n is the number of sides So: 0.5*(352-105) = 560 diagonals
What are the total diagonals in an irregular polygon whose interior angles add up to 1980 degrees showing all work?
Suppose the polygon has V vertices.Then sum of interior angles is (V - 2)*180 degrees = 1980 degrees => V - 2 = 1980/180 = 11 => V = 13 A polygon with V vertices has V*(V-3)/2 = 13*10/2 = 65 diagonals.
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
