Description
Multiply radius by angleRadians for arcLength.
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 radius by angleRadians for arcLength.
When to use this tool
Use Paver Fan Wedge Module Gap when you need one transparent landscape geometry component.
How to use the tool and how it works
- Enter radius, angleRadians, moduleWidth. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read arcLength, completeModules, remainder. Use the output convention below.
Multiply radius by angleRadians for arcLength. Divide by positive moduleWidth into completeModules and the remaining arc length.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| radius | Radius | Required. Finite number; minimum 0. |
| angleRadians | Angle Radians | Required. Finite number; minimum 0. |
| moduleWidth | Module Width | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| arcLength | Arc Length | Required. Finite number. |
| completeModules | Complete Modules | Required. Safe integer. |
| remainder | Remainder | Required. Finite number. |
{
"input": {
"radius": 10,
"angleRadians": 0.5,
"moduleWidth": 2
},
"output": {
"arcLength": 5,
"completeModules": 2,
"remainder": 1
}
} Limitations and assumptions
- This is arc-wise module counting, not a wedge layout, joint allowance, or cutting plan.
- 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
Similar or alternative tools
- Lawn Edging Scallop Arc Length
Multiply radius by sweepRadians for oneArc and by scallops for totalLength.
- Path Curve Inner Outer Length Gap
Multiply innerRadius and innerRadius + width by sweepRadians for inner and outer arc lengths.