Map Extent Width Height from Bounds at Scale Calculator

Projected rectangular ground extent to print dimensions under constant representative fraction; no latitude/longitude distance conversion.

Description

Convert ground extent dimensions to map millimeters at scale 1:D.

At scale 1:D, a ground distance and its mapped distance use the same ratio after converting units. This calculator estimates printed extent dimensions from ground dimensions in meters.

When to use this tool

Convert ground extent dimensions to map millimeters at scale 1:D. Use it when the input measurements and conventions below match the operation you need.

  • Prepare groundWidthM, groundHeightM, scaleDenominator, respecting the measurement basis and boundaries below.
  • Compare the worked example with your intended operation before reusing its result.

How to use the tool and how it works

  1. Enter every field in the input table using the stated units and exact supported selector spelling where applicable.
  2. Run the tool. Correct input errors before interpreting an output.
  3. Read the result fields below; use accompanying flags and the stated sign, boundary or model convention when interpreting a number.

groundWidthM and groundHeightM must be nonnegative and scaleDenominator positive. Each returned map dimension in millimeters equals 1,000 times its ground dimension divided by scaleDenominator.1

Input fieldMeaning and unitsAccepted input
groundWidthMGround width m. Meters.Finite number; zero or greater
groundHeightMGround height m. Meters.Finite number; zero or greater
scaleDenominatorScale denominator.Finite number; greater than zero
Output fieldInterpretation
resultObject containing the following named result fields.
result.mapWidthMmMap width mm; use the stated units and sign convention.
result.mapHeightMmMap height mm; use the stated units and sign convention.
json
{
  "input": {
    "groundWidthM": 1000,
    "groundHeightM": 2000,
    "scaleDenominator": 10000
  },
  "output": {
    "result": {
      "mapWidthMm": 100,
      "mapHeightMm": 200
    }
  }
}

Limitations and assumptions

  • The result assumes a uniform scale in both directions. No projection, terrain slope, page margin or printer scaling is applied.
  • Every declared field is required and unexpected fields are rejected. Numeric inputs must be finite; input errors are distinct from a valid false result or an explicitly qualified output.
  • Extremely large inputs and nonfinite or excessively large outputs are rejected. List positions reported by the tool use zero-based indices unless stated otherwise.

Alternative or Complementary methods

For a map-layout decision, inspect the rendered map at its intended size as well as its numerical dimensions. For classification or coordinate work, retain the chosen boundary and coordinate conventions with the result. Compare the scope of the nearby tools below before substituting one.

References

  1. Tool behavior and example: Map Extent Width Height from Bounds at Scale Calculator — tool.io

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