Description
Return annular arch-sector area.
Architectural curves, stairs and roof planes can be described by ideal radii, angles, linear slopes and reference heights. Arc length differs from chord length, and a plan diagonal differs from a sloping member’s length. These local geometry terms do not evaluate structural capacity or building requirements.
Return annular arch-sector area.
When to use this tool
Use Masonry Opening Arch Ring Area when checking the stated ideal curve, tread, slope or reference-plane term.
How to use the tool and how it works
- Enter innerRadius, thickness, angleRadians. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read area. Use the output convention below.
Return annular arch-sector area. Require innerRadius/thickness >= 0 and angleRadians in (0,2*pi]; area = angle*thickness*(2*innerRadius+thickness)/2.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| innerRadius | Inner Radius | Required. Finite number; minimum 0. |
| thickness | Thickness | Required. Finite number; minimum 0. |
| angleRadians | Angle in radians on the specified axis/sign convention. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| area | Area in the common squared-length unit specified above. | Required. Finite number. |
{
"input": {
"innerRadius": 2,
"thickness": 0.5,
"angleRadians": 3.141592653589793
},
"output": {
"area": 3.5342917352885173
}
}Limitations and assumptions
- This assumes concentric circular boundaries; no masonry bond, arch thrust or structural stability is analyzed.
- 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 complete spatial design, verified dimensions and qualified professional review for structural, accessibility and construction decisions.
References
Similar or alternative tools
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