Math Problem Statement

What kind of polygon is this?

Solution

The polygon in the image appears to be a convex polygon.

A convex polygon has all interior angles less than 180°, and none of its diagonals lie outside the polygon. In contrast, a concave polygon would have at least one angle greater than 180° and some diagonals outside the polygon.

Would you like further details or have any questions?

Here are five related questions:

  1. What are the characteristics of concave polygons?
  2. How do you calculate the sum of interior angles in any polygon?
  3. Can a convex polygon ever have an angle greater than 180°?
  4. What is the difference between a regular and an irregular polygon?
  5. How many diagonals can a polygon have, and how do you calculate it?

Tip: For any polygon with nn sides, the sum of interior angles is given by the formula (n2)×180(n - 2) \times 180^\circ.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Polygons
Convex and Concave Polygons

Formulas

Sum of interior angles formula: (n - 2) × 180°

Theorems

Convex Polygon Properties
Concave Polygon Properties

Suitable Grade Level

Grades 6-8