Proportional Legend Value Solver

Value represented by a circle radius at a specified square-millimetres-per-unit scale.

Description

Value represented by a circle radius at a specified square-millimetres-per-unit scale.

Proportional Legend Value Solver: Value represented by a circle radius at a specified square-millimetres-per-unit scale.

When to use Proportional Legend Value Solver

Use this cartographic calculation to convert, scale, or compare map, terrain, bearing, raster, or route quantities when the coordinate and unit conventions are explicitly known.

Radius Millimeters (mm)
Required number input.
Area Square Millimeters Per Unit (mm2/unit)
Required number input.

How Proportional Legend Value Solver works

Value represented by a circle radius at a specified square-millimetres-per-unit scale. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Value
The resulting value returned as a number.

Limitations and assumptions

  • Map calculations depend on datum, projection, latitude, scale definition, magnetic-declination epoch, and whether distances are planar, rhumb-line, or geodesic. A compact formula cannot remove distortion or infer the missing reference system.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Confirm the map datum, projection, scale, and bearing convention before applying the result. Use geodesic or GIS software with current reference data when survey-grade or navigation-critical accuracy is required.

References

  1. Thematic map — Wikipedia contributors

Similar or alternative tools

  • Proportional Symbol Radius

    Circle radius in millimetres whose area is proportional to value at a specified square-millimetres-per-unit scale.

  • Dot Density Dots Per Unit

    Count of map dots needed for a value when one dot represents a fixed number of units.

  • Plan Area To Real Area

    Ground area in square metres represented by a plan area in square centimetres at scale 1:N.

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