Free Polygon Angles Calculator
Interior and exterior angles of a regular polygon.
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Inputs
Result
Each interior angle
108.00°
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Short answer
Interior and exterior angles of a regular polygon.
What is the Polygon Angles Calculator?
Interior and exterior angles of a regular polygon.
How does the Polygon Angles Calculator work?
Enter the inputs above and read the result.
Formula
Variables
nNumber of sides
Explanation
The sum of interior angles grows by 180° for every extra side; dividing by n gives one angle for a regular polygon.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Polygon Angles Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Polygon Angles
Interior and exterior angles of a regular polygon. Within math calculators, polygon angles belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.
Learning how polygon angles is calculated
The sum of interior angles grows by 180° for every extra side; dividing by n gives one angle for a regular polygon. Working through the variables one at a time — n — makes the result reproducible by hand and easier to sanity-check.
Using polygon angles to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How polygon angles compares with related measures
area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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