Quick Answer: How Many Diagonals Are There In A Polygon Of 20 Sides?

What is N sided polygon?

The interior of a solid polygon is sometimes called its body.

An n-gon is a polygon with n sides; for example, a triangle is a 3-gon.

A simple polygon is one which does not intersect itself..

How many diagonals does a 30 sided polygon have?

SixSix..

What is the number of diagonals of a regular polygon with 10 sides?

Decagon (10 sides): n(n-3)/2 = 10(10-3)/2 = 10*7/2 = 70/2 = 35 diagonals.

How many diagonals does a 12 sided polygon have?

54 diagonalsSoooooooo we can draw 54 diagonals in a 12 sided figure.

How many sides does a polygon with 20 diagonals have?

The formula for the diagonals in a polygon of n-sides is n(n-3)/2, so a 20 sided polygon has 20(20–3)/2 = 170 diagonals.

How many diagonals does an sided polygon have?

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).

How many diagonals does a 6 sided polygon have?

Classifying PolygonsPolygon NameNumber of SidesNumber of DiagonalsQuadrilateral42Pentagon55Hexagon69Heptagon7147 more rows•Jul 18, 2012

What polygon has 4 sides?

Four-Sided Polygons – Quadrilaterals The term tetragon is consistent with polygon, pentagon etc. You may come across it occasionally, but it is not commonly used in practice. The family of quadrilaterals includes the square, rectangle, rhombus and other parallelograms, trapezium/trapezoid and kite.

How many diagonals are in a square?

two diagonalsA square and a crossed square have the following properties in common: Opposite sides are equal in length. The two diagonals are equal in length.

How many diagonals are there in a polygon of 15 sides?

90 diagonalsHow many diagonals would be in a 15 sided polygon? Therefore, there are 90 diagonals in a 15 sided polygon.

How many diagonals does a polygon with 18 sides have?

Therefore it will have 18-6=12 diagonals. Manonamission wrote: How many diagonals does a polygon with 18 sides have if three of its vertices, which are adjacent to each other, do not send any diagonals? Each vertex makes a diagonal with n-3 other vertices. So each vertex will make 15 diagonals.

How many diagonals does a regular hexagon?

Number of Diagonals = n(n-3)/2 For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

How many diagonals does a 13 sided polygon have?

65 diagonalstherefore,, there are 65 diagonals in a 13 sided polygon.

How many diagonals does a 17 sided polygon have?

119 diagonalsThus, for a 17-sided polygon, there are 119 diagonals.

How many diagonals does a 14 sided polygon have?

154 diagonalsYou can draw 14*11 = 154 diagonals, but you will have drawn each one twice.

How do you find diagonals?

The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n – 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

How many sides does a regular polygon have if the exterior angle is 45?

8As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

How many diagonals does a polygon with 21 sides have?

171Generally the # of diagonals in sided polygon equals to : choose any two vertices out of to connect minus sides, which won’t be diagonals. So, # of diagonals in 21 sided polygon is . Since the diagonals from 1 particulat vertex shouldn’t be counted then (one vertex makes diagonals). Answer: 171.

How many diagonals does a 9 sided polygon have?

6 diagonalsSince there are 9 vertices in all, that’s a total of 9 – 3 = 6 diagonals we can draw: Since there are nine vertices, we should be able to do this nine times, right?

What is diagonal formula?

The formula to find the number of diagonals is n(n – 3)/2, where n is the number of sides the polygon has.

Is there a nine sided shape?

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.