Maps & Geography Math Center

Calculate · Explore · Learn

Maps & Geography Math Center

Map scales, measured distances, coordinates, areas and route geometry. 20 tools with purposes, formulas and worked examples.

Simple mode uses starting defaults for extra scenario controls. Advanced exposes those controls where available. Change an entry, then press Calculate.

Formula, calculation steps & example

    All 20 tools: purposes and formulas
    • Map drawing to ground distance — Use the labeled measurements to calculate map drawing to ground distance.

      A × B (A, B, C refer to the labeled entries)

    • Ground to map drawing distance — Use the labeled measurements to calculate ground to map drawing distance.

      A ÷ B (A, B, C refer to the labeled entries)

    • Map scale denominator — Use the labeled measurements to calculate map scale denominator.

      A ÷ B (A, B, C refer to the labeled entries)

    • Squared linear scale factor — Use the labeled measurements to calculate squared linear scale factor.

      A² (A, B, C refer to the labeled entries)

    • Drawing area to ground area — Use the labeled measurements to calculate drawing area to ground area.

      A × B (A, B, C refer to the labeled entries)

    • Rectangular map parcel area — Use the labeled measurements to calculate rectangular map parcel area.

      A × B (A, B, C refer to the labeled entries)

    • Triangle area from entered base-half — Use the labeled measurements to calculate triangle area from entered base-half.

      A × B (A, B, C refer to the labeled entries)

    • Circular area — Use the labeled measurements to calculate circular area.

      π × A² (A, B, C refer to the labeled entries)

    • Rectangular route diagonal — Use the labeled measurements to calculate rectangular route diagonal.

      sqrt(A² + B²) (A, B, C refer to the labeled entries)

    • Measured route total — Use the labeled measurements to calculate measured route total.

      A + B + … (A, B, C refer to the labeled entries)

    • Route average speed — Use the labeled measurements to calculate route average speed.

      A ÷ B (A, B, C refer to the labeled entries)

    • Route time at constant speed — Use the labeled measurements to calculate route time at constant speed.

      A ÷ B (A, B, C refer to the labeled entries)

    • Map gradient percentage — Use the labeled measurements to calculate map gradient percentage.

      A ÷ B × 100 (A, B, C refer to the labeled entries)

    • Elevation interval — Use the labeled measurements to calculate elevation interval.

      A − B (A, B, C refer to the labeled entries)

    • Elevation from contour intervals — Use the labeled measurements to calculate elevation from contour intervals.

      A × B (A, B, C refer to the labeled entries)

    • Degrees to angular minutes — Use the labeled measurements to calculate degrees to angular minutes.

      A × B (A, B, C refer to the labeled entries)

    • Angular minutes to seconds — Use the labeled measurements to calculate angular minutes to seconds.

      A × B (A, B, C refer to the labeled entries)

    • Map kilometers to meters — Use the labeled measurements to calculate map kilometers to meters.

      A × B (A, B, C refer to the labeled entries)

    • Square meters to hectares — Use the labeled measurements to calculate square meters to hectares.

      A ÷ B (A, B, C refer to the labeled entries)

    • Sub-area share — Use the labeled measurements to calculate sub-area share.

      A ÷ B × 100 (A, B, C refer to the labeled entries)

    Definitions and source references

    Unit definitions and selected model references:

    Save this math resource for later
    Save to Pinterest