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Polygon Interior Angles Calculator

Find the interior-angle sum of a simple polygon and each angle if it is regular. Self-intersecting polygons are excluded.

Enter your values

Enter a numeric value. Use a whole number. Must be greater than zero.

Use a decimal point, without thousands separators.

Example result
Angle sum
720 °
Regular angle120 °

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Find the interior-angle sum of a simple polygon and each angle if it is regular. Self-intersecting polygons are excluded.

Inputs and units
Polygon Interior Angles Calculator · Inputs and units
InputExample valueWhat to enter
Number of sides6Enter a numeric value. Use a whole number. Must be greater than zero.
sum = (n−2)180°; regular angle = sum/n

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Number of sides
6

Complete example results

Angle sum
720 °
Regular angle
120 °

Reading the result

Enter lengths in the same unit. Area uses the square of that unit and volume its cube. Height is perpendicular to the base; use a sloping side only when the input explicitly asks for it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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