Table of Contents
- 1 What is a convex regular hexagon?
- 2 How many sides does a convex hexagon have?
- 3 What does a convex hexagon add up to?
- 4 What is concave hexagon?
- 5 What is the sum of the interior angles of a convex hexagon?
- 6 Is a convex a heptagon?
- 7 Which polygon is a convex heptagon?
- 8 What is an example of a convex polygon?
What is a convex regular hexagon?
Convex Hexagon: A convex hexagon is one in which all the interior angles measure less than 180°. Convex hexagons can be regular or irregular, which means they can have equal or unequal side lengths and angles. All the vertices of the convex hexagon are pointed outwards.
How many sides does a convex hexagon have?
6
Polygons
| Polygon Name | Number of Sides | Convex Example |
|---|---|---|
| Hexagon | 6 | [Figure4] |
| Heptagon | 7 | |
| Octagon | 8 | [Figure5] |
| Nonagon | 9 |
What is the difference between concave and convex hexagon?
Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.
What does a convex hexagon add up to?
720∘
In a n -sided polygon, sum of its interior angles is (n−2)×180∘ , hence sum of the interior angles in a convex hexagon is (6−2)×180∘=720∘ .
What is concave hexagon?
A concave hexagon is a hexagon that has at least one internal angle that is greater than 180 degrees.
What is the sum of the exterior angle of a convex hexagon?
360°
The sum of the exterior angles of any convex polygon is 360°. Example 3: Find the measure of each interior angle of a regular hexagon (Figure 3 ).
What is the sum of the interior angles of a convex hexagon?
The sum of the interior angles of a hexagon must equal 720 degrees.
Is a convex a heptagon?
Heptagons and other polygons can also be classified as either convex or concave. If all interior angles of a heptagon are less than 180° , it is convex. If one or more interior angles is larger than 180°, it is concave. A regular heptagon is a convex heptagon. A concave heptagon is an irregular heptagon.
How many diagonals does a convex hexagon have?
With this formula in mind, for hexagon ( 6 -sided convex polygon, that is N = 6) the number of diagonals is D6 = 6⋅3 2 = 9.
Which polygon is a convex heptagon?
Convex Heptagon: A convex heptagon is a polygon with seven sides in which all of its diagonals lies inside the Heptagon . Concave Heptagon: A Concave Heptagon is a polygon with one or more interior angles greater than 180 degrees and some diagonals will lie outside the polygon.
What is an example of a convex polygon?
An example of a convex polygon: a regular pentagon. A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.