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Path Curve Inner Outer Length Gap Tool

Calculate path curve inner outer length gap from explicit caller-supplied inputs.

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Description

Multiply innerRadius and innerRadius + width by sweepRadians for inner and outer arc lengths.

Simple site geometry approximates an area, section, or volume using ideal shapes. Coherent length units and the distinction between signed and unsigned quantities determine the result's meaning.

Multiply innerRadius and innerRadius + width by sweepRadians for inner and outer arc lengths.

When to use this tool

Use Path Curve Inner Outer Length Gap when you need one transparent landscape geometry component.

How to use the tool and how it works

  1. Enter innerRadius, width, sweepRadians. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read innerLength, outerLength, difference. Use the output convention below.

Multiply innerRadius and innerRadius + width by sweepRadians for inner and outer arc lengths. Return width × sweepRadians as their difference.1

Input fieldMeaning and unitsAccepted input
innerRadiusInner RadiusRequired. Finite number; minimum 0.
widthWidth, count, or interval span under the stated formula.Required. Finite number; minimum 0.
sweepRadiansSweep RadiansRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
innerLengthInner LengthRequired. Finite number.
outerLengthOuter LengthRequired. Finite number.
differenceDifferenceRequired. Finite number.
json
{
  "input": {
    "innerRadius": 5,
    "width": 2,
    "sweepRadians": 3
  },
  "output": {
    "innerLength": 15,
    "outerLength": 21,
    "difference": 6
  }
}

Limitations and assumptions

  • This assumes concentric circular arcs; transitions, joints, and varying path width are not modeled.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a surveyed terrain or construction model when irregular shapes, settlement, drainage, and structural performance matter.

References

  1. Calculation and input contract: landscape-architecture/path-curve-inner-outer-length-gap — tool.io

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