A Shape With Nine Sides

In geometry, nosotros may come across different types of polygons as shown in the effigy given below. All of these polygons have different backdrop based on the number of sides and angles they take. A nonagon is a ix sided polygon and it is besides called an Enneagon or 9-gon. In other words, a nonagon is a nine sided closed two dimensional effigy.

Types of polygons

Here, a three-sided polygon is a triangle, 4 sided polygon is a quadrilateral, five-sided polygon is a pentagon, 6-sided polygon is a hexagon, 7-sided polygon is heptagon, eight-sided polygon is octagon, nine-sided polygon is chosen a nonagon and a 10-sided polygon is the decagon.

Nonagon shape

A nonagon contains 9 directly sides and 9 vertices connecting these sides. The sum of all the interior angles of a nonagon is equal to 1260 degrees.

Nonagon

The higher up figure shows the shape of a nonagon that has nine sides.

Nonagon shape images

Nonagons tin can be classified into regular and irregular nonagons.

Regular Nonagon

A nonagon with all sides coinciding and equiangular is called a regular nonagon. The shape of a regular nonagon is given below.

Regular nonagon

Properties of Regular Nonagon

Some of the important properties of regular nonagon are listed beneath.

The measure of each interior bending of a regular nonagon is equal to 140 degrees.

Regular nonagon angle

Equally mentioned in a higher place, the measure of each internal angle of a regular nonagon is 140° and the measure of the central angle is forty° when it is divided into triangles as shown in the above diagram. Also, the sum of all the exterior angles is 360 degrees.

A regular nonagon can be divided into 9 isosceles triangles with equal surface area, that means 9 congruent isosceles triangles.
The perimeter of a regular nonagon with side "a" is equal to 9a.
The surface area of a regular nonagon of side length a is given past
A = (ix/4)aⁱⁱ cot(π/nine)

Or

A = (9/ii)ar = 9r² tan(π/9)

Here, r is the radius of the inscribed circle of the regular nonagon and r = (a/ii) cot(π/9).

Or

A = (9/2)Rⁱⁱ sin(2π/9)

Here, R is the radius of the circumscribed circle of the regular nonagon.

Irregular Nonagon

A nonagon in which all sides are not equal and all angles are not equal. Withal, the sum of all its interior angles is always 1260° fifty-fifty if it has irregular sides and unequal angles. Some of the irregular nonagon shapes are given beneath.

Irregular nonagon

How many sides are in a nonagon

As the name denotes, a nonagon has 9 sides, since nona means nine and gon means sides.

Sides of a nonagon

Here, AB, BC, CD, DE, EF, FG, GH, Hullo and AI are the 9 sides of the to a higher place nonagon.

Diagonals of Nonagon

The number of diagonals of a nonagon is equal to 27. These diagonals can exist observed from the below diagram.

Diagonals of nonagon

Frequently Asked Questions on Nonagon

What is a 9-sided figure called?

A 9-sided effigy is called a nonagon in geometry. Information technology is also chosen enneagon or 9-gon.

What is a 7 sided shape called?

A 7-sided shape is called heptagon. The total sum of the interior angles of a simple heptagon is 900°.

What is a 10 sided shape called?

In geometry, a decagon is a ten-sided polygon or 10-gon. The full sum of the interior angles of a elementary decagon is 1440°.

What is an 11 sided shape called?

In geometry, a hendecagon (too undecagon or endecagon) or 11-gon is an eleven-sided polygon. The sum of all the interior angles of a hendecagon is 1620 degrees.

What is a 13 sided shape called?

A 13-sided polygon, sometimes likewise called the triskaidecagon. The sum of all interior angles of a triskaidecagon is 1980 degrees.

What is a 12 sided shape called?

In geometry, a dodecagon or 12-gon is any twelve-sided polygon. The sum of all interior angles of a dodecagon is 1800 degrees.

What is a 100 sided shape called?

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon'south interior angles are 17640 degrees.