Description
Return usableArea=pi*(outerRadius^2-(trunkRadius+clearance)^2).
Garden and resource-design calculations combine measured lengths, areas, water volumes, material fractions, travel, and evidence records. A useful budget needs consistent units and clear overlap, exclusion, and denominator rules. Supplied geometry and efficiencies describe a model rather than verified site performance.
Return usableArea=pi*(outerRadius^2-(trunkRadius+clearance)^2).
When to use this tool
Use Mulch Ring Trunk Clearance Area Term when you have supplied site dimensions or resource records and need the stated geometry, budget, or coverage measure.
How to use the tool and how it works
- Enter outerRadius, trunkRadius, clearance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read usableArea. Use the output convention below.
Require nonnegative trunkRadius and clearance with outerRadius>=trunkRadius+clearance. Return usableArea=pi*(outerRadius^2-(trunkRadius+clearance)^2).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| outerRadius | Outer Radius | Required. Finite number. |
| trunkRadius | Trunk Radius | Required. Finite number; minimum 0. |
| clearance | Clearance | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| usableArea | Usable Area | Required. Finite number. |
{
"input": {
"outerRadius": 2,
"trunkRadius": 0.2,
"clearance": 0.3
},
"output": {
"usableArea": 11.780972450961723
}
}Limitations and assumptions
- Use one common length unit. The circular ring geometry does not determine a suitable mulch depth or clearance for a species, trunk condition, or growing site.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use verified site measurements and suitable physical or resource models for a complete design. Check units, overlap, losses, capacity, and whether an accounting share represents the intended quantity.
References
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