Convex Polygon Examples

Convex polygons are frequently used in both architecture and daily life. Some of the common examples are stop signs, which have eight sides and an outward curve, and many modern buildings’ windows, which also have convex surfaces. Crosswalks and pedestrian islands on roads are commonly marked with convex polygonal forms. Dinner plates and tabletops, which have a smooth and outwardly bulging shape, can also serve as examples of convex polygons.

Convex Polygon

Convex polygons are special shapes with straight sides that don’t fold inward. All the lines connecting the corners of a convex polygon stay inside the shape. The corners of a convex polygon always point outward. A regular polygon, where all sides and angles are equal, is always convex.

If a closed shape has a curved surface, it’s not a convex polygon. In geometry, a polygon is a flat, two-dimensional shape with straight sides and angles. There are two main types of polygons: convex and concave, based on the angles inside. Let’s explore more about convex polygons, including their properties, types, formulas, and examples.

Table of Content

  • Convex Polygon Definition
  • Convex Polygon Examples
  • Types of Convex Polygons
    • Regular Convex Polygon
    • Irregular Convex Polygon
  • Properties of Convex Polygons
  • Convex Polygon and Concave Polygon
  • Convex Polygon Formulas
    • Regular Convex Polygon Area
    • Regular Convex Polygon Perimeter
    • Irregular Convex Polygon Perimeter
    • The sum of Interior Angles
    • Sum of Exterior Angles
  • FAQs

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Convex Polygon Definition

A closed figure known as a convex polygon is one in which all of the inner angles are less than 180°. As a result, the polygon‘s vertices will all face away from the shape’s interior, or outward. No sides are inwardly pointed. A triangle is thought to be a significant convex polygon. The quadrilateral, pentagon, hexagon, parallelogram, and other convex polygonal forms are examples....

Convex Polygon Examples

Convex polygons are frequently used in both architecture and daily life. Some of the common examples are stop signs, which have eight sides and an outward curve, and many modern buildings’ windows, which also have convex surfaces. Crosswalks and pedestrian islands on roads are commonly marked with convex polygonal forms. Dinner plates and tabletops, which have a smooth and outwardly bulging shape, can also serve as examples of convex polygons....

Types of Convex Polygons

Two categories can be used to categorize convex polygons. These are what they are:...

Properties of Convex Polygons

Some of the important properties of convex polygons are:...

Convex Polygon and Concave Polygon

Some of the key differences between convex and concave polygon are listed below:...

Convex Polygon Formulas

Let’s look at some convex polygon formulas:...

Solved Examples of Convex Polygons

Example 1: Calculate the area of the polygon with vertices (2, 5), (6, 4), and (7, 3)....

Practice Problems on Convex Polygon

Problem 1: Calculate the sum of the interior angles of a convex hexagon....

FAQs on Convex Polygons

What is a Convex Polygon?...