Table of Contents
- 1 Does a regular polygon have equal sides?
- 2 Do all regular polygons have the same number of sides as lines of symmetry?
- 3 What is the shape with n No of sides in which all the sides are equal called?
- 4 How many symmetries does a regular N sided polygon have?
- 5 What do you call the polygon with equal sides?
- 6 What is the shape with n No of sides in which all the sides are equal called rectangle circle triangle regular polygon?
- 7 What is the difference between a regular and irregular polygon?
- 8 How to find the area of a regular polygon?
Does a regular polygon have equal sides?
A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.
Do all regular polygons have the same number of sides as lines of symmetry?
All the regular polygons are symmetrical shapes. In the regular polygon, the number of lines of symmetry is the same as the number of its sides.
Is it possible to have an equilateral polygon that isn’t also a regular polygon?
Being equilateral is not enough For a polygon to be ‘regular’ it must have all sides the same length and all interior angles the same. Also, this violates the property that in a regular polygon, all vertices lie on a circle.
How do you know if a polygon is regular?
A polygon having equal sides and equal angles is a regular polygon. A regular polygon has three parts: Sides. Vertices.
What is the shape with n No of sides in which all the sides are equal called?
regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length)….Regular polygon.
| Set of convex regular n-gons | |
|---|---|
| Dual polygon | Self-dual |
| Area (with side length, s) | |
| Internal angle | |
| Internal angle sum |
How many symmetries does a regular N sided polygon have?
A regular polygon of 9 sides has 9 Lines of Symmetry. A regular polygon of 10 sides has 10 Lines of Symmetry. A regular polygon of “n” sides has “n” Lines of Symmetry.
Does an octagon have to have equal sides?
All octagons need not have equal sides. Octagons that have equal sides are known as regular octagons, while irregular octagons have different side lengths.
Can a polygon be equilateral but not equiangular?
In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, it doesn’t need to be equiangular (doesn’t need to have all angles equal), but if it does then it is a regular polygon.
What do you call the polygon with equal sides?
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star.
What is the shape with n No of sides in which all the sides are equal called rectangle circle triangle regular polygon?
Explanation: A regular polygon is a shape with 4 or more sides and all the sides are of equal length. A regular polygon with five, six, seven, etc. sides are called as a regular pentagon, regular hexagon, regular heptagon, etc.
What is an n-sided regular polygon?
An N-sided regular polygon is a polygon of n side in which all sides are equal. For example regular pentagon, regular hexagon, etc. The area is the quantitative representation of the extent of any two-dimensional figure.
What are sides and angles of a regular polygon?
A regular polygon is a two-dimensional shape having all sides of equal length and all interior angles of equal measure. Thus sides and angles are the two parts of a regular polygon that are always congruent. They are thus both equilateral and equiangular.
What is the difference between a regular and irregular polygon?
Ans. A pentagon with all equal sides and angles are regular polygons whereas an irregular pentagon with one or more sides and angles unequal are irregular polygons. Q6. Is a square a regular polygon? Ans.
How to find the area of a regular polygon?
Each side of the regular polygon can create one triangle of side a (side of a polygon) and angle 180 / n (n is a number of sides of a polygon). So, the area can be found using the formula, Area of triangle = ½ * b * h Now, h = a * tan (180/n)