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if a polygon has 560 diagnose how many vertices does it have

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Brooklyn C

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6mo ago
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11y ago

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Q: If a polygon has a total of 560 diagonals how many vertices does it have?
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How many diagonals can be drawn from a vertex of an n gon?

n-3 diagonals. Of the n vertices of the polygon, you cannot draw diagonals to the two adjacent vertices since these are sides of the polygon and so not diagonals. And you cannot draw a diagonal from a vertex to itself. So those are three vertices that are ruled out, leaving n-3.


How many diagonals does an octagon have?

A polygon with n vertices has n*(n-3)/2 diagonals. So an octagon has 8*5/2 = 20 diagonals. Of those 20 diagonals, 8 are the principal diagonals, the ones joining a pair of opposite vertices


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


How many diagonals does in a 3-sided polygon?

A 3-sided polygon is a triangle. There is no diagonal for that shape since all non-adjacent vertices share a line segment!


How many diagonals can be drawn from one vertex of a 12 sided polygon?

10 ... any polygon it is 2 less than the number of sides or vertices wince they are the same.


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 polygon with 3 sides have?

That polygon is called a "triangle". It has no diagonals.


How many diagonals are there in a polygon of 11 sides?

how many diagonals are there iin a polygon of 11 sides


How many diagonals in a 15 sided polygon?

There are 90 diagonals in a 15-sided polygon.


How many diagonals does an 11-sided polygon have?

An 11 sided polygon has 44 diagonals.


How many diagonals does a four-sided polygon have?

A four-sided polygon has two diagonals.


How many diagonal can be drawn from a regular hexagon from one vertex?

5 diagonals * * * * * That is not correct since two of these would be lines joining the vertex to adjacent vertices (one on either side). These are sides of the polygon, not diagonals. The number of diagonals from any vertex of a polygon with n sides is n-3.