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Keyhole BED Reach Path Area Budget Tool

Calculate keyhole bed reach path area budget from explicit caller-supplied inputs.

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Description

Return growingArea=pi*(outerRadius^2-centerRadius^2)-pathWidth*pathLength+overlapArea.

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 growingArea=pi*(outerRadius^2-centerRadius^2)-pathWidth*pathLength+overlapArea.

When to use this tool

Use Keyhole BED Reach Path Area Budget 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

  1. Enter outerRadius, centerRadius, pathWidth, pathLength, overlapArea. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read growingArea. Use the output convention below.

Require outerRadius>=centerRadius>=0, nonnegative pathWidth and pathLength, and overlapArea within pathWidth*pathLength. Return growingArea=pi*(outerRadius^2-centerRadius^2)-pathWidth*pathLength+overlapArea.1

Input fieldMeaning and unitsAccepted input
outerRadiusOuter RadiusRequired. Finite number.
centerRadiusCenter RadiusRequired. Finite number; minimum 0.
pathWidthPath WidthRequired. Finite number; minimum 0.
pathLengthPath LengthRequired. Finite number; minimum 0.
overlapAreaOverlap AreaRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
growingAreaGrowing AreaRequired. Finite number.
json
{
  "input": {
    "outerRadius": 2,
    "centerRadius": 0.5,
    "pathWidth": 0.5,
    "pathLength": 1,
    "overlapArea": 0
  },
  "output": {
    "growingArea": 11.280972450961723
  }
}

Limitations and assumptions

  • Use compatible length and area units. The path is modeled as a rectangle and can exceed the annular area, producing a negative result; actual shape intersection, reachable dimensions, and site safety are not verified.
  • 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

  1. Calculation and input contract: permaculture/keyhole-bed-reach-path-area-budget — tool.io

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