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Polygon Apothem Calculator

Find a regular polygon apothem as side / (2 tan(π/n)). Use the same length unit throughout.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Allowed range: 3 to 10,000. Whole numbers only.

Allowed range: 1e-09 to 1,000,000,000.

Your result
Enter your details

Result will appear here

How Polygon Apothem Calculator works

Find a regular polygon apothem as side / (2 tan(π/n)).

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Convex regular polygon only. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Polygon Apothem Calculator, showing regular polygon side count input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Polygon Apothem Calculator

Follow the labelled inputs.

Enter regular polygon side count

Replace the example with regular polygon side count. The field labels specify the expected format and units.

Calculate
Input and settings
Polygon Apothem Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set side length. Use the same length unit throughout.

Calculate
Tool result
Polygon Apothem Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Calculate
Review the details
Polygon Apothem Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Polygon Apothem Calculator

Check the supplied example

The starting example produces 1.73205080757. Find a regular polygon apothem as side / (2 tan(π/n)).

Calculate
Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for regular polygon side count and side length. Use the same length unit throughout.

Calculate
Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

Calculate
A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Find a regular polygon apothem as side / (2 tan(π/n)).

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Convex regular polygon only. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

CalculateCalculate
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Convex regular polygon only. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

CalculateCalculate
Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

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Polygon Apothem Calculator: common questions

Answers about using Polygon Apothem Calculator and understanding its results.

What inputs and assumptions apply?

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Convex regular polygon only. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate