Description
Return radius squared times (angle-sine(angle))/2 for area and radius times angle for wettedPerimeter.
Ideal water-storage and channel geometry uses dimensions, areas, and displacement fractions. Coherent length units determine areas and volumes; actual irregular geometry and hydraulic behavior require additional information.
Return radius squared times (angle-sine(angle))/2 for area and radius times angle for wettedPerimeter.
When to use this tool
Use Circular Conduit Part Full Angle Factor when you need one explicit geometric component of a tank, bed, conduit, or channel.
How to use the tool and how it works
- Enter radius, filledAngleRadians. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read area, wettedPerimeter. Use the output convention below.
Require positive radius and filledAngleRadians in (0, 2π]. Return radius squared times (angle-sine(angle))/2 for area and radius times angle for wettedPerimeter.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| radius | Radius | Required. Finite number; strictly above 0. |
| filledAngleRadians | Central angle of the wetted arc in radians, greater than zero and at most 2π. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| area | Area on the common unit basis stated above. | Required. Finite number. |
| wettedPerimeter | Wetted Perimeter | Required. Finite number. |
{
"input": {
"radius": 2,
"filledAngleRadians": 3.141592653589793
},
"output": {
"area": 6.283185307179586,
"wettedPerimeter": 6.283185307179586
}
}Limitations and assumptions
- The supplied angle is the central angle of the wetted circular arc, in radians; no depth-to-angle conversion, roughness, or conduit discharge is calculated.
- 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
Check the full surveyed geometry and the physical model before interpreting storage, capacity, or safe operation.
References
Similar or alternative tools
- Stream Section Trapezoid Wetted Perimeter
Compute trapezoid area, bottom plus two sloping-side lengths as wettedPerimeter, and area/perimeter as hydraulicRadius.
- Open Channel Wetted Perimeter Panel Term
Use the hypotenuse of horizontalWidth and the depth difference as bedLength.