# What is the formula of dodecagon?

## What is the formula of dodecagon?

A dodecagon can be broken into a series of triangles by the diagonals which are drawn from its vertices. The number of triangles which are created by these diagonals, can be calculated with the formula: (n – 2), where n = the number of sides. In this case, n = 12. So, 12 – 2 = 10.

### How do you find the surface area of a dodecagon?

Area of a Regular Dodecagon For a regular dodecagon with sides s, the area formula is: A = 3 × (s)^2 × (2 + √3)

What is the number of sides of a dodecagon?

12
Dodecagon/Number of edges

A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.

What is a 10 sided shape called?

Regular decagon
In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, “ten angles”) is a ten-sided polygon or 10-gon….Decagon.

Regular decagon
A regular decagon
Type Regular polygon
Edges and vertices 10
Schläfli symbol {10}, t{5}

## What is a infinite sided shape called?

regular apeirogon
Apeirogon

The regular apeirogon
Edges and vertices
Schläfli symbol {∞}
Coxeter diagram
Internal angle (degrees) 180°

### What is a one billion sided shape called?

Megagon

Regular megagon
Type Regular polygon
Edges and vertices 1000000
Schläfli symbol {1000000}, t{500000}, tt{250000}, ttt{125000}, tttt{62500}, ttttt{31250}, tttttt{15625}
Coxeter diagram

How to calculate the interior angle of a dodecagon?

1 One interior angle of a regular dodecagon is 150° which sums up to a total of 1800°. 2 The sum of all the exterior angles of a polygon is always 360°, i.e., so for dodecagons, each angle is of 30°. 3 The total number of diagonals of a dodecagon is 54. It can be found from the formula given below:

Is it possible to find the area of a dodecagon?

Yes, it is possible to find the area of a triangle and therefore, find the area of a dodecagon. For this method, you have to consider the regular dodecagon to have 12 isosceles triangles with one angle at 30 degrees and the remaining two angles at 75 degrees.

## What are the properties of a regular dodecagon?

What are the Properties of Regular Dodecagons? In a regular decagon, each interior angle is equal to 150° and each exterior angle is equal to 30°. The sum of its interior angles is 1800°, while the sum of its exterior angles is 360°. How do you Find the Area of a Dodecagon?

### How many vertices are there in a dodecagon?

A Dodecagon is a 12-sided polygon, with 12 interior angles, and 12 vertices which is where the sides meet. Want to find the area of a Dodecagon shape?