TopWe generally face many problems for solving the issues about side geometries like we know 3 sided Geometry structure in 2d view is known as a triangle geometry, 4 sided geometry structure in 2d view is known as a Square geometry, 5 sided geometry structure in 2d view is called as a pentagon, 6 side geometry in 2d view is called as a Hexagon etc. Now question arises what is a 12 sided shape called? 12 sided geometry is known as a ‘dodecagon’. All sided geometry in 2d view is called as a Polygon, but question arises naming between 2d and 3d view. Now we discuss whole geometry of dodecagon:
Triangle is present in dodecagon: We use following formula for evaluation of how many Triangles are present in dodecagon.
Triangles are present in dodecagon = n – 2, here 'n' is equal to sides
= 7 – 2,
So, there are total 5 triangles are present in dodecagon.
Interior angle of dodecagon – we use following formula for evaluation of interior angle of dodecagon -
(180 * n – 360) / n,
=> (180 * 12 – 360) / 12,
= > 175 degree,
So, interior angle of dodecagon is 175 degree.
Exterior angle of dodecagon: We use following formula for evaluation of exterior angle of dodecagon–
Exterior angle of dodecagon = 180 – interior angle,
=> 180 – 175,
=> 5 degree,
So, exterior angle of dodecagon is 5 degree.
Diagonal of dodecagon: we use following formula for evaluation of diagonal of dodecagon –
Diagonal of dodecagon = (1 / 2) * n * (n – 3), here ‘n’ is number of side,
=> (1 / 2) * 12 * (12 – 3),
=> 6 * (9),
So, total diagonals of dodecagon are 54. Therefore, these are all things explain with 12 sided geometry.