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.
Complete truth table
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:
- Virginia Tech: wing geometry and mean aerodynamic chord
- Aircraft Design course: tail volume definitions
- Prusa: filament and printer calculation references
- NIST: SI defining constants
- NASA: aerodynamic lift models
- Horizon Hobby: product and battery documentation
- Smithsonian: Maya calendar units
- NIST: frequency intervals and cents
- NIST: binary prefixes
- NOAA: nautical miles and knots
- RFC 3021: IPv4 /31 point-to-point links
- MDN: exact integer arithmetic
- NIST: international-foot unit conversions
- NASA/JPL: astronomical unit definitions
- NASA: ideal rocket equation
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