How to calculate regular polygon sum of interior angles?

Fill in number of sides in the Regular Polygon Sum of Interior Angles Calculator above and your angle sum is calculated instantly. Change any value to see how the result responds.

Is this calculator free to use?

Yes — every calculator on this site is completely free, with no sign-up or account required.

How accurate is this calculator?

It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.

Is my data saved anywhere?

No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.

Regular Polygon Sum of Interior Angles Calculator

Math · Geometry

Quick answer

If number of sides are 6, the angle sum is 720 °.

Enter your values

Number of sides

Angle sum

720°

Calculated directly from the values you entered above.

1 = 120 °

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See how the result changes

Each table re-runs this calculator with one value changed and everything else left as it is.

Angle sum by number of sides

If number of sides goes from 6 to 9, angle sum changes from 720 ° to 1,260 ° (+75%).

Angle sum for different values of Number of sides
Number of sides	Angle sum
3	180 °
6start	720 °
9	1,260 °
12	1,800 °

MATH GUIDE

A quick guide to Regular Polygon Sum of Interior Angles

Use it to get an accurate angle sum in seconds — free, with no sign-up.

Instant results
See your angle sum the moment you enter your numbers.
Free, no sign-up
Every calculator here is free to use, with no account required.
Accurate & transparent
The same standard formula runs on our server for every calculation.

How to Use the Regular Polygon Sum of Interior Angles Calculator

Enter Number of sides

Provide your number of sides.

View Your Results

Get your angle sum instantly, calculated on our server.

What is Regular Polygon Sum of Interior Angles?

This math tool works out your angle sum instantly, so you don't have to do the math by hand.

“One quick calculation, so you always know your angle sum before you decide.”

What Affects Your Angle sum

Your angle sum depends on the values below.

Number of sides
Changing your number of sides changes your angle sum. Typically between 3 and 100.

Example Result

Here's what you can expect from a regular polygon sum of interior angles calculation:

Number of sides: 6
Angle sum: 720 °

Frequently Asked Questions

How does number of sides affect angle sum?: If number of sides goes from 6 to 9, angle sum changes from 720 ° to 1,260 ° (+75%).
How to calculate regular polygon sum of interior angles?: Fill in number of sides in the Regular Polygon Sum of Interior Angles Calculator above and your angle sum is calculated instantly. Change any value to see how the result responds.
What does an example regular polygon sum of interior angles calculation look like?: If number of sides are 6, the angle sum is 720 °.
Is this calculator free to use?: Yes — every calculator on this site is completely free, with no sign-up or account required.
How accurate is this calculator?: It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
Is my data saved anywhere?: No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.

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