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Regular Octagon Calculator

Result

Calculated result 2.4142135624 Based on the values entered.
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Regular Octagon Calculator — free online calculator.

Formula

Area = 2(1+√2)×s²; Perimeter = 8s; Short diagonal = s√(4+2√2); Long diagonal = s(1+√2)√2; Inradius = s(1+√2)/2
  • Regular Octagon Calculator calculates its result from S. It uses the formula Area = 2(1+√2)×s²; Perimeter = 8s; Short diagonal = s√(4+2√2); Long diagonal = s(1+√2)√2; Inradius = s(1+√2)/2. Change any input to recalculate the result instantly.
  • The main inputs are S. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Regular Octagon

Inputs
  • S: 2

Using S = 2, the calculated result is 2.4142135624.

Sample result: Calculating…

Frequently asked questions

What does the Regular Octagon calculate?

Regular Octagon Calculator — free online calculator.

Which values should I enter?

Enter S using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Area = 2(1+√2)×s²; Perimeter = 8s; Short diagonal = s√(4+2√2); Long diagonal = s(1+√2)√2; Inradius = s(1+√2)/2.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026