Description
Divide π × radius² by that cosine for area and return its reciprocal factor.
Solid-geometry formulas assume particular shapes and measurement directions. Axial height, slant length, filled-volume centroid, and surface centroid are different quantities even when they describe the same object.
Divide π × radius² by that cosine for area and return its reciprocal factor.
When to use this tool
Use Cylinder Oblique Section Area Factor when you need a local dimension, area, or centroid term for the stated ideal solid.
How to use the tool and how it works
- Enter radius, normalAxisCosine. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read area, factor. Use the output convention below.
Require nonnegative cylinder radius and normalAxisCosine in (0, 1]. Divide π × radius² by that cosine for area and return its reciprocal factor.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| radius | Radius in the common length unit, with its geometric role defined above. | Required. Finite number. |
| normalAxisCosine | Positive cosine between section-plane normal and cylinder axis, at most one. | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| area | Area in the square of the common length unit. | Required. Finite number. |
| factor | Factor | Required. Finite number. |
{
"input": {
"radius": 1,
"normalAxisCosine": 0.5
},
"output": {
"area": 6.283185307179586,
"factor": 2
}
}Limitations and assumptions
- The cosine is the magnitude of the angle cosine between section-plane normal and cylinder axis; this assumes an unbounded right circular cylinder and does not check finite-cylinder clipping or actual geometry.
- 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 solid model for clipping, oblique shapes, or nonuniform material. Confirm radius, height, and centroid conventions before applying an ideal-shape identity.
References
Similar or alternative tools
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