Regular N-Gon Perimeter Calculator

Regularn-gon perimeter n×s, integern≥3, not circumradius or area.

Description

A regular polygon perimeter is its number of equal sides times their common length.

A regular polygon perimeter is its number of equal sides times their common length.1

This tool evaluates that relation for an integer side count of at least three.

When to use Regular N-Gon Perimeter Calculator

This tool evaluates that relation for an integer side count of at least three.

How to use Regular N-Gon Perimeter Calculator and how it works

  1. Prepare side count, side length, using the input definitions and matching units below.
  2. Enter the required fields and run Regular N-Gon Perimeter Calculator.
  3. Read result.value using the units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualSideCountActual Side Count. Use the units and matching context stated in the calculation below.numberRequired; integer 1–1000000; finite; other constraints below
actualSideLengthActual Side Length. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Require side count integer 3–1000000 and positive common side length. Multiply them and return perimeter in the same length unit. No circumradius or area conversion is performed.

perimeter=n*sideLength

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueGeometric length in the supplied radius, side or curve-scale unit.number
json
{
  "input": {
    "actualSideCount": 3,
    "actualSideLength": 2
  },
  "output": {
    "result": {
      "value": 6
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Torus Surface Area Calculator for a complementary operation: A ring torus has a major radius larger than its tube radius, giving a non-self-intersecting surface.

Use Star Polygon Area Calculator for a complementary operation: A regular star polygon's algebraic area counts winding multiplicity and can differ from the area of its filled union.

References

  1. Regular N-Gon Perimeter Calculator — tool.io

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