Examples
Examples
Try the starting example
- Sphere internal diameter (mm)
- 200
- Circular port diameters (mm)
- 20,30,10
- Planar aperture area / sphere area fraction
- 0.00875
- Total nominal port area (mm²)
- 1,099.557429
Try another scenario
- Sphere internal diameter (mm)
- 220.00000000000003
- Circular port diameters (mm)
- 20,30,10
- Planar aperture area / sphere area fraction
- 0.007231
- Total nominal port area (mm²)
- 1,099.557429
Calculation method
Calculation method
Planar aperture area / sphere area fraction
Port fraction=sum(πd²/4)/(πDsphere²).
Total nominal port area (mm²)
Port fraction=sum(πd²/4)/(πDsphere²).
Symbols and units
- a
- Sphere internal diameter (mm)
- b
- Circular port diameters (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- Planar circular aperture approximation; ignores spherical-cap correction and detector response. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Planar circular aperture approximation; ignores spherical-cap correction and detector response.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.