Cyc Cyclorama Curve Radius Width Calculator
Infer circular cyc minor-arc radius/length from actual chord and sagitta; not floorplan coordinate transforms, noncircular curves, fabric fullness or structural layout.
Description
A circular minor arc is determined by chord and sagitta.
A circular minor arc is determined by chord and sagitta. The circular assumption differs from a general cyclorama profile.1
Enter positive chord/sagitta with sagitta≤half chord. Return radius, angle in degrees and radius×angleRadians fabric arc width.
When to use Cyc Cyclorama Curve Radius Width Calculator
Use Cyc Cyclorama Curve Radius Width Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No noncircular geometry, fullness allowance or structural layout is modeled.
Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
How to use Cyc Cyclorama Curve Radius Width Calculator and understand its results
- Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
- Enter measuredCycChordWidthM, measuredCycSagittaM using the field table and calculation rules, then run the tool.
- Read circularArcRadiusM, circularArcAngleDegrees, arcFabricWidthM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| measuredCycChordWidthM | Measured cyc chord width m | number | Required |
| measuredCycSagittaM | Measured cyc sagitta m | number | Required |
Enter positive chord/sagitta with sagitta≤half chord. Return radius, angle in degrees and radius×angleRadians fabric arc width.
radius=chord²/(8sagitta)+sagitta/2; angle=4atan(2sagitta/chord) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| circularArcRadiusM | Circular arc radius m | number |
| circularArcAngleDegrees | Circular arc angle degrees | number |
| arcFabricWidthM | Arc fabric width m | number |
{
"input": {
"measuredCycChordWidthM": 4,
"measuredCycSagittaM": 2
},
"output": {
"circularArcRadiusM": 2,
"circularArcAngleDegrees": 180,
"arcFabricWidthM": 6.283185307179586
}
}Limitations and assumptions
No noncircular geometry, fullness allowance or structural layout is modeled.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Grand Drape Fullness Yardage Calculator: Grand-drape fullness expands the flat fabric span. Whole roll drops and allowances determine purchased length. For a complementary task, use Proscenium Opening Ratio Lookup: Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific.
References
Similar or alternative tools
- Grand Drape Fullness Yardage Calculator
Grand-drape fullness expands the flat fabric span. Whole roll drops and allowances determine purchased length.
- Proscenium Opening Ratio Lookup
Proscenium proportions compare measured opening width and height with a chosen design brief. A preferred ratio is project-specific.