# What is convex polygon with example?

## What is convex polygon with example?

A convex polygon is a closed figure where all its interior angles are less than 180° and the vertices are pointing outwards. Real-world examples of convex polygons are a signboard, a football, a circular plate, and many more. In geometry, there are many shapes that can be classified as convex polygons.

### What is concave and convex polygon?

A convex polygon has all its interior angles less than 180 degrees whereas a concave polygon has at least one interior angle more than 180 degrees.

#### What is a concave polygon simple definition?

A concave polygon is a polygon that is not convex. An example of a non-simple (self-intersecting) polygon is a star polygon. A concave polygon must have at least four sides.

What means convex shape?

A convex shape is the opposite of a concave shape. It curves outward, and its middle is thicker than its edges. Just like concave, convex can be used as a noun for a surface or line that curves outward, and it also has a use in geometry, where it describes a polygon with interior angles less than or equal to 180°.

How do you determine if a polygon is a convex polygon?

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 are the properties of convex polygon?

The properties of the convex polygon are as follows:

• The interior angle of a convex polygon is strictly less than 180°.
• A polygon, with at least one interior angle, is greater than 180° is called a non-convex polygon or concave polygon.
• Sum of all the interior angles of a polygon of n sides = (n – 2)180°.

### What are convex polygon for Class 9?

Convex Polygon – A polygon is said to be convex if all the interior angles of the polygon are less than 180 degree. This means that all the vertices of the polygon will point outwards, away from the interior of the shape.

#### What is concave polygon in computer graphics?

Concave Polygon: If one or more interior angles of a polygon are more than 180° degrees or a polygon contains at least one reflex interior angle, then the polygon will be known as a concave polygon. This polygon can have at least four sides.

What is a convex and non-convex polygon?

A polygon is convex if all the interior angles are less than 180 degrees. If one or more of the interior angles is more than 180 degrees the polygon is non-convex (or concave).

What is a convex polygon class 8?

Concave and convex polygon: If each of the interior angles of a polygon is less than 180°, then it is called a convex polygon. If at least one angle of a polygon is more than 180°, then it is called a concave polygon.

## Which of the following polygons is convex polygon?

A planar polygon is convex if it contains all the line segments connecting any pair of its points. Thus, for example, a regular pentagon is convex (left figure), while an indented pentagon is not (right figure). A planar polygon that is not convex is said to be a concave polygon.

### Which of the given figure is a convex polygon?

A planar polygon is convex if it contains all the line segments connecting any pair of its points. Thus, for example, a regular pentagon is convex (left figure), while an indented pentagon is not (right figure).