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Product Label Corner Radius Ratio

Compare an explicit product-label corner radius to its short side, flagging a radius above half that side without modifying it.

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Description

Compare a label corner radius with its short-side length.

Product geometry depends on reference surfaces, mating dimensions, signed offsets, compression assumptions and material behavior. A clearance comparison or nominal engagement depth describes a limited scalar relation. Physical fit, ergonomics, sealing, strength and electrical compatibility need the complete product and its verified conditions.

Compare a label corner radius with its short-side length.

When to use this tool

Use Product Label Corner Radius Ratio when you already have cornerRadius, labelShortSide and need to compare a label corner radius with its short-side length.

How to use the tool and how it works

  1. Enter cornerRadius, labelShortSide. 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 radiusToShortSideRatio, exceedsHalfSide. Inspect exceedsHalfSide before interpreting the associated values.

Require radius>=0 and short side>0; return radius/side and radius>side/2.1

Input fieldMeaning and unitsAccepted input
cornerRadiusCorner RadiusRequired. Finite number; minimum 0.
labelShortSideLabel Short SideRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
radiusToShortSideRatioRadius To Short Side RatioRequired. Finite number.
exceedsHalfSideA flag only; oversized corner radii do not cause input rejection.Required. Boolean.
json
{
  "input": {
    "cornerRadius": 3,
    "labelShortSide": 20
  },
  "output": {
    "radiusToShortSideRatio": 0.15,
    "exceedsHalfSide": false
  }
}

Limitations and assumptions

  • This is one geometric comparison, not validation of a complete rounded rectangle, production tolerance or suitable label design.
  • 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

Inspect actual component specifications and a complete dimensioned assembly for design decisions. Add material, loading, tolerance and operating-condition analysis when a local gap, radius ratio or supplied compression fraction cannot establish performance.

References

  1. Calculation and input contract: industrial-design/product-label-corner-radius-ratio — tool.io

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