Polygon Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Polygon.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
A closed two-dimensional figure formed by three or more straight line segments connected end-to-end.
Connect-the-dots that closes into a shape—no curves allowed.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Polygons are named by their number of sides; properties depend on regularity.
Common stuck point: Convex polygons have no indentations; concave polygons have at least one vertex that points inward.
Sense of Study hint: Try counting the sides and using the name pattern: tri=3, quad=4, pent=5, hex=6. Then check if all sides are straight.
Worked Examples
Example 1
easySolution
- 1 Step 1: Use the interior angle sum formula: (n-2) \times 180° where n is the number of sides.
- 2 Step 2: A hexagon has n = 6 sides.
- 3 Step 3: Sum = (6-2) \times 180° = 4 \times 180° = 720°.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
hardBackground Knowledge
These ideas may be useful before you work through the harder examples.