Table of Contents
- 1 What is the name of the regular polygon whose ratio of interior angle measure to exterior angle measure is 4 1?
- 2 What are the interior and exterior angles of a regular polygon?
- 3 What is regular polygon state the name of a regular polygon?
- 4 What is the interior angle of a regular 20 sided polygon?
- 5 What do you call polygons that are not regular?
- 6 What does the word polygon mean in math?
What is the name of the regular polygon whose ratio of interior angle measure to exterior angle measure is 4 1?
nonagon
It is a nonagon.
What are the interior and exterior angles of a regular polygon?
All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°.
What are the interior and exterior angles of a regular polygon with 20 sides?
Each exterior angle of a regularpolygon of 20 sides = 360/20 = 18 deg. Each interior angle of a regularpolygon of 20 sides = 180 – 18 = 162 deg. Total sum of the 20 interior angles of the regular polygon = 162*20 = 3240 deg.
What is the most descriptive name of a regular polygon in which each interior angle compared to each exterior angle has a ratio of 3 1?
regular pentagon
The measure of each interior angle is (n-2)(180/n) and the measure of each exterior angle is 360/n. The polygon is a regular pentagon.
What is regular polygon state the name of a regular polygon?
Regular polygon: A polygon having sides of equal length and angles of equal measures is called a regular polygon. i.e., A regular polygon is both equilateral and equiangular. (i) A regular polygon of 3 sides is called an equilateral triangle. (ii) A regular polygon of 4 sides is called a square.
What is the interior angle of a regular 20 sided polygon?
3240 degrees
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° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
How to find the measure of a regular polygon?
1 Regular Polygons have equal length sides ( congruent sides) 2 Regular Polygons have equal length angles ( congruent angles) 3 Because the measure of each central angle is congruent in regular polygons, you can find the measure of the central angle by dividing the number of sides into 360◦
How are the interior angles of a polygon equal to each other?
A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees. The interior angles of a polygon are equal to a number of sides.
What do you call polygons that are not regular?
Polygons that are not regular are considered to be irregular polygons with unequal sides, or angles or both. A third set of polygons are known as complex polygons.
What does the word polygon mean in math?
Poly- means “many” and -gon means “angle”. A regular polygon has all angles equal and all sides equal, otherwise it is irregular A convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave.