Polygon Interior Angles Calculator
This calculator helps you find the sum of interior angles of a polygon. Ideal for students, educators, and professionals working in geometry.
Calculator
Results
Sum of Interior Angles:
0°
Each Interior Angle:
0°
Data Source and Methodology
All calculations are strictly based on the formula for the sum of the interior angles of a polygon: (n-2) × 180°, where n is the number of sides.
The Formula Explained
The sum of the interior angles of a polygon is given by the formula:
Sum = (n - 2) * 180°
Glossary of Variables
- n: Number of sides in the polygon.
- Sum of Interior Angles: The total measure of all interior angles in the polygon.
- Each Interior Angle: Average measure of each interior angle if the polygon is regular.
Frequently Asked Questions (FAQ)
What is a polygon?
A polygon is a 2D shape with straight sides. Examples include triangles, squares, and hexagons.
How do you find the interior angle of a regular polygon?
The measure of each interior angle in a regular polygon is given by the formula: (n - 2) × 180° / n.
What is the sum of interior angles of a triangle?
The sum of the interior angles of a triangle is always 180°.
Can a polygon have curved sides?
No, by definition, a polygon must have straight sides.
How many sides does a polygon need to have to be considered a polygon?
A polygon must have at least three sides.
Tool developed by Ugo Candido. Content verified by the Omni Calculator Expert Team.
Last reviewed for accuracy on: October 15, 2023.