 # Quick Answer: How Many Diagonals Does A 9 Sided Polygon Have?

## How many diagonals does a 20 sided polygon have?

170In a 20-sided polygon, the total diagonals are = 20(20-3)/2 = 170.

But, since one vertex does not send any diagonals, the diagonals by that vertex needs to be subtracted from the total number of diagonals.

In a polygon, it is known that each vertex makes (n-3) diagonals..

## How many angles does a 9 sided polygon have?

Excellent! So the interior angle of a 9 -sided polygon is 140 ° ….Solve the Question.Interior Angle of a Polygon=180 ° · Number of Triangles Number of VerticesInterior Angle of a Polygon=9 · 20 ° · 7 9‌‌6 more rows

## What is a 10 sided shape?

In geometry, a decagon is a ten-sided polygon or 10-gon.

SixSix..

## How many diagonals does a 21 sided polygon 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.

## What is a 35 sided polygon called?

triacontakaipentagonExample: A 35-sided polygon is called a “triacontakaipentagon.”

## How many diagonals are in a hexagon?

9 diagonalsAnswer and Explanation: A hexagon has 9 diagonals. A diagonal of a polygon is a line segment that runs from one vertex of the polygon to another vertex, excluding the sides…

## How many diagonals does an eighteen sided polygon have?

12 diagonalsTherefore 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.

## Can a hexagon be any shape with 6 sides?

In geometry, a hexagon (from Greek ἕξ hex, “six” and γωνία, gonía, “corner, angle”) is a six-sided polygon or 6-gon. … The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

## Is the radius of a hexagon equal to the side?

The radius of a hexagon is equal to the length of one side. Because of this, a regular hexagon can be broken into six equilateral triangles.

## What is the diagonal of regular hexagon?

To find the diagonals of hexagons, use the formula: n (n-3)/2, where n is the number of sides of a polygon. For a hexagon, n = 6, and 6 (6-3) / 2 equals nine diagonals. A regular hexagon shape has a radius that equals the side length.

## What’s a 6 sided shape called?

hexagonMore than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

## How many diagonals does a 10 sided polygon have?

35 diagonals1. How many diagonals of a regular decagon (a 10 sided polygon) are not parallel to any of the sides (AMC12)? A decagon has (10 2) – 10 = 35 diagonals. Each pair of opposing sides has three diagonals which are parallel to them, so 5*3 = 15 of the diagonals are parallel to a side.

## How many diagonals does a 7 sided polygon have?

Classifying PolygonsPolygon NameNumber of SidesNumber of DiagonalsPentagon55Hexagon69Heptagon714Octagon8?7 more rows•Jul 18, 2012

## What is the maximum number of distinct diagonals in a hexagon?

Hexagon (6 sides): n(n-3)/2 = 6(6-3)/2 = 6*3/2 = 18/2 = 9 diagonals.

## How many diagonals are in a 35 sided polygon?

of sides of the polygon. n = 10 or -7. Hence the figure has 10 diagonals and is a decagon.

## What do you call a 9 sided shape?

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon.

## How many diagonals does a 12 sided polygon have?

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