# How do you work out the interior angles of a 24 sided polygon?

## How do you work out the interior angles of a 24 sided polygon?

To find the measure of an interior angle of a regular polygon, take the sum of all interior angles and divide by the number of angles. The sum of all interior angles can be found by (n – 2)*180 where n is the number of sides, in this case 24. So all the interior angles add to 3960 degrees.

## How many interior angles does a 24 sided polygon have?

3960 degrees
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees….Icositetragon.

Regular icositetragon
Internal angle (degrees) 165°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

How do you find the angles of a polygon with sides?

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

What is the formula for interior angles of a polygon?

Interior and exterior angle formulas: The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

### What is a 25 sided shape called?

icosikaipentagon
A polygon with 25 sides is called a icosikaipentagon. “Penta” represents the ones digit, meaning “five,” and “gon” is added to every polygon to distinguish it as a name for a shape.

### What is a 20 sided shape called?

icosagon
In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

What is the formula of a regular polygon?

In terms of the perimeter of a regular polygon, the area of a regular polygon is given as, Area = (Perimeter × apothem)/2, in which perimeter = number of sides × length of one side….Area of Regular Polygons.

Names of Regular Polygon Area of Regular Polygon
Equilateral Triangle Area = (√3 ×(length of a side)2)/4
Square Area = (length)2

What is the sum of all interior angles of a 20 sided polygon?

3240°
When you divide a polygon into triangles, the number of triangles is always 2 less than the number of sides. This means that all of the interior angles of any 20-sided polygon add up to 3240°.

#### What is the interior angle of a 7 sided polygon?

128.571°
In geometry, a heptagon is a seven-sided polygon or 7-gon….Heptagon.

Regular heptagon
Coxeter diagram
Symmetry group Dihedral (D7), order 2×7
Internal angle (degrees) ≈128.571°
Dual polygon Self