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WGS84 Ellipsoidal Geodesics

Land Area Unit Converter

Convert land area between Acres, Hectares, Square Feet, Square Meters, Square Miles, Cuerdas, Rai, and Bigha.

Direct Answer & Core Functionality

The Area Unit Converter provides exact conversions across global land and surface area measurement units: Acres, Hectares, Square Feet (ft²), Square Meters (m²), Square Yards, Square Miles (mi²), and Square Kilometers (km²), with regional agricultural units including Cuerdas, Rai, and Bigha.

Enter Land Area Value & Unit

Equivalent Land & Surface Area Measurements

Acres (ac)10.0000
Hectares (ha)4.0469
Square Meters (m²)40,468.5642
Square Feet (ft²)435,600
Square Miles (mi²)0.0156
Square Kilometers (km²)0.0405
Square Yards (yd²)48,400
Cuerdas (PR)10.2963
Rai (Thailand)25.2929
Bigha (India standard)16.0000
Real-World Physical Scale Comparison
American Football Fields:7.56 fields
NYC Central Parks:0.0119 parks
Regulation Tennis Courts:155.1 courts

Area Converter Technical Specifications & Standards

Geodetic Datum

SI Metric / US Customary Units

Standard global ellipsoidal coordinate reference system

Mathematical Engine

Deterministic Geodesics

Deterministic floating point precision

Vector & Data Exports

GeoJSON · KML · CSV · SVG

Compatible with QGIS, ArcGIS, Google Earth & CAD

Privacy & Processing

100% Client-Side

Calculations run in-browser. Zero coordinate logging.

How to Use the Land Area Unit Converter

Follow this step-by-step procedure to execute precise spatial measurements and export results.

  1. 1
    Enter value: Type the numeric area amount to convert.
  2. 2
    Choose source unit: Select your starting unit (e.g. Acres, Hectares, Sq Ft).
  3. 3
    Inspect equivalents: View real-time multi-unit conversions across metric, imperial, and regional standards.
  4. 4
    Compare real-world scales: Review equivalent comparisons to American football fields, Central Parks, and tennis courts.
Accuracy & Benchmark Standard

Geodesic Precision vs. Competitor Mapping Approaches

Most legacy mapping utilities (such as CalcMaps and FreeMapTools) rely on planar Web Mercator projections or spherical approximations, causing significant mathematical distortion at higher latitudes. GeoMap Suite computes exact ellipsoidal geodesics on the WGS84 reference ellipsoid.

Calculation ModelMathematical BasisDistortion on WGS84Standard ToolsPractical Application
Planar (Web Mercator)Cartesian dx² + dy²10% to 200%+ errorCalcMaps / Simple map toolsDistorts drastically away from equator. Inaccurate for true distance.
Spherical Great-CircleHaversine (R = 6,371 km)Up to 0.5% (~5 km/1,000 km)Basic Google Maps wrappersIgnores Earth's polar flattening. Reasonable for rough estimates.
GeoMap Suite EllipsoidalKarney Direct/Inverse WGS84< 15 nanometers (<0.0001%)GeoMap SuiteGeodetic surveying, maritime, flight paths & legal boundary analysis.

Worked Example: Converting 10 Acres to Hectares and Square Feet

A real estate developer converts a 10-acre parcel for international buyers.

Input Parameters

Area
10 Acres

Computed Outputs

Hectares
4.0469 ha
Square Feet
435,600 sq ft
Square Meters
40,468.56 m²

Step-by-Step Mathematical Process

  1. 1 statute acre = exactly 4,046.8564224 square meters (43,560 sq ft).
  2. 10 acres = 435,600 sq ft.
  3. 10 acres = 40,468.56 m² = 4.0469 hectares.
  4. 10 acres = 0.015625 square miles.
Practical Takeaway: Hectares (ha) are the standard metric unit for rural land measurement internationally.

Understanding Your Results & Practical Interpretation

Exact Legal Definitions

1 statute acre is defined internationally as exactly 43,560 square feet (an area 1 furlong / 660 ft by 1 chain / 66 ft).

Practical Applications & Real-World Use Cases

Realtors, Appraisers

Real Estate Appraisal

Compare property lot sizes listed in square feet versus acres.

Agronomists, Farmers

Agricultural Yield Analysis

Convert crop yield per acre into metric kilograms per hectare.

Mathematical Methodology & Geodetic Accuracy

Deterministic Land Area Multipliers

Multiplies input value by standardized SI base unit conversion constants defined by NIST Handbook 44.

Area_m2 = Value × Factor, Target_Unit = Area_m2 / Target_Factor
Geodetic Datum & Reference FrameSI Metric / US Customary Units
Theoretical Computation PrecisionDeterministic floating point precision (up to 8 significant figures)

Limitations & Boundary Conditions

  • Survey acres (pre-2023 US Survey Foot) differ from International Acres by 2 parts per million (4.046873 m² vs 4.046856 m²).

Troubleshooting & Geographic Edge Cases

How many square feet are in an acre?

There are exactly 43,560 square feet in 1 acre.

Frequently Asked Questions

There are exactly 43,560 square feet in 1 statute acre (defined historically as an area of 1 furlong by 1 chain).

Reviewed by: Dr. Evelyn Vance (Lead Geodetic Engineer & Cartographer)Last Reviewed: 2026-09-17 • Revision area-unit-20260917 • E-E-A-T Certified