Description
Circular fillet tangent to two rays enclosing the supplied interior angle.
A planning scenario combines parcel dimensions, frontage, service space, and explicitly supplied rules. Gross, excluded, and counted areas can use different bases. A geometric result describes the chosen model while site conditions and the governing requirements need separate verification.
Circular fillet tangent to two rays enclosing the supplied interior angle.
When to use this tool
Use Intersection Corner Radius Offset Term when you need the stated geometric or planning-indicator term under supplied site dimensions and rule choices.
How to use the tool and how it works
- Enter radius, interiorAngle. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read tangentOffset, centerDistance. Use the output convention below.
Calculate tangentOffset=radius/tan(interiorAngle/2) and centerDistance=radius/sin(interiorAngle/2). Require nonnegative radius and an interior angle strictly between zero and pi radians.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| radius | Radius | Required. Finite number; minimum 0. |
| interiorAngle | Interior corner angle in radians, strictly between zero and pi. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| tangentOffset | Tangent Offset | Required. Finite number. |
| centerDistance | Center Distance | Required. Finite number. |
{
"input": {
"radius": 5,
"interiorAngle": 1.5707963267948966
},
"output": {
"tangentOffset": 5.000000000000001,
"centerDistance": 7.0710678118654755
}
}Limitations and assumptions
- Lengths share the radius unit. This ideal circular-fillet geometry does not determine a safe curb radius, vehicle clearance, accessibility, or intersection design.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use measured site geometry and the applicable authoritative definitions when a planning decision needs more than this supplied term. A complete layout, access, or structural review can require additional models.
References
Similar or alternative tools
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