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Hem Curved Edge Allowance Length

Calculate a circular hem offset arc length from explicit radius, signed allowance, and angle without approximating a general garment curve.

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Description

Calculate a curved hem's allowance-length contribution under supplied geometry.

Garment geometry distinguishes body and finished dimensions, elastic rest length, seamline/cutline offsets, motif phases and joining losses. A nominal coordinate or length budget does not establish material behavior or a suitable fit. Direction, angle units and the number of gaps rather than objects affect the result.

Calculate a curved hem's allowance-length contribution under supplied geometry.

When to use this tool

Use Hem Curved Edge Allowance Length when checking the stated garment length, allowance, repeat or material-record convention.

How to use the tool and how it works

  1. Enter seamlineRadius, signedRadialAllowance, arcAngleRadians. 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 cutlineRadius, cutlineArcLength, lengthDifference. Use the output convention below.

Require nonnegative seamline radius and cutline radius=seamlineRadius+signedAllowance, with arcAngleRadians>=0. Return cutline radius, radius*angle arc length and allowance*angle length difference.1

Input fieldMeaning and unitsAccepted input
seamlineRadiusSeamline RadiusRequired. Finite number; minimum 0.
signedRadialAllowanceSigned Radial AllowanceRequired. Finite number.
arcAngleRadiansArc Angle RadiansRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
cutlineRadiusCutline RadiusRequired. Finite number.
cutlineArcLengthCutline Arc LengthRequired. Finite number.
lengthDifferenceLength DifferenceRequired. Finite number.
json
{
  "input": {
    "seamlineRadius": 10,
    "signedRadialAllowance": 2,
    "arcAngleRadians": 1.5
  },
  "output": {
    "cutlineRadius": 12,
    "cutlineArcLength": 18,
    "lengthDifference": 3
  }
}

Limitations and assumptions

  • The allowance is a signed radial offset; ideal concentric arcs do not model fabric deformation, seam easing or a recommended hem method.
  • 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 measured pattern/material properties, fitting evidence and appropriate complete production methods for actual garment fit and construction.

References

  1. Calculation and input contract: fashion/hem-curved-edge-allowance-length — tool.io

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