What is the minimum interior angles possible for a regular polygon and why?
Table of Contents
- 1 What is the minimum interior angles possible for a regular polygon and why?
- 2 How many interior angles does a regular polygon have?
- 3 Can a regular polygon have an interior angle of 20?
- 4 Can it be an interior angle of a regular polygon why Class 8?
- 5 What is the minimum amount of angles needed to form a polygon?
- 6 What is the maximum exterior angle possible for a regular polygon and why?
What is the minimum interior angles possible for a regular polygon and why?
An Equilateral Triangle is a regular polygon with minimum number of sides because all sides are equal in it. Hence each angle of an equilateral triangle measures 60° . Hence, 60° is the minimum possible value for internal angle of a regular polygon.
How many interior angles does a regular polygon have?
The interior angles of a polygon are equal to a number of sides. Angles are generally measured using degrees or radians. So, if a polygon has 4 sides, then it has four angles as well….Interior angles of Regular Polygons.
| Regular Polygon Name | Each interior angle |
|---|---|
| Septagon | 128.57° |
| Octagon | 135° |
| Nonagon | 140° |
| Decagon | 144° |
What is the smallest interior angle of a regular polygon?
120 degree
The interior angles of a polygon are in A.P. The smallest angle is 120 degree and the common difference is 5 degree.
What is the largest interior angle of a regular polygon?
The triacontagon is the largest regular polygon whose interior angle is the sum of the interior angles of smaller polygons: 168° is the sum of the interior angles of the equilateral triangle (60°) and the regular pentagon (108°).
Can a regular polygon have an interior angle of 20?
In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees….Icosagon.
| Regular icosagon | |
|---|---|
| Symmetry group | Dihedral (D20), order 2×20 |
| Internal angle (degrees) | 162° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Can it be an interior angle of a regular polygon why Class 8?
Regular polygon has all interior angles equal. Let number of sides and number of interior angles be n.
How do you find the interior angle of a regular polygon?
Let’s recap. A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.
What is interior angle of a polygon?
An interior angle of a polygon is an angle inside a polygon at a vertex of the polygon. Interior Angles of a Regular Polygon. Interior angles of a regular polygon are equal in measure. The magnitude of an angle can be determined by the number of sides of the polygon.
What is the minimum amount of angles needed to form a polygon?
A polygon with minimum sides is a triangle. So 180°/3 = 60° should be the minimum interior angle possible for a regular polygon.
What is the maximum exterior angle possible for a regular polygon and why?
The sum of all the exterior angles in a polygon is equal to 360 degrees. Each exterior angle of an equilateral triangle is 120 degrees and hence this the maximum possible value of the exterior angle of a regular polygon.
What is the smallest possible angle?
The smallest possible angle of an n-sided polygon is always 1. Angles must be specified in degrees not radians.
Can a regular polygon have an interior angle of 156?
Answer: The interior angle of a regular polygon is 156 deg. So the polygon has 360/24 = 15 sides.