EVERYDAY CLARITY
Polygon Angle Calculator
What is the sum of interior angles in an n-sided polygon? Enter the values below to calculate the result.
Your result
sum
degree
regularInterior
degree
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Index or side count (count) | Enter index or side count in count; use the same basis as the other measurements. |
Understanding your result
Read sum (degree), regularInterior (degree) in the units and model stated on this page. The formula sum=180*(n-2) · regularInterior=sum/n defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Mixing input units or changing the physical meaning of a variable without changing the model.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
What is the sum of interior angles in an n-sided polygon?
What is the sum of interior angles in an n-sided polygon? Enter the values below to calculate the result.
Common uses
- What is the sum of interior angles in an n-sided polygon
How it works
sum=180*(n-2); regularInterior=sum/n
Worked example
Enter Index or side count: 5 count. Results: sum: 540 degree; regularInterior: 108 degree.