Polygon Area Perimeter Calculator - Calculate Area Online
Free polygon calculator: calculate area, perimeter, and centroid of any polygon. Draw on map, import GeoJSON/WKT, get results in multiple units instantly.
What is a Polygon Calculator?
A polygon calculator is a GIS tool that computes geometric properties of polygons including area, perimeter, centroid (center point), and bounding box. This tool supports both manual input (GeoJSON/WKT) and interactive drawing on a map.
Polygon calculations are essential in surveying, land management, urban planning, agriculture, environmental studies, and geographic analysis. Accurate measurements help in property valuation, resource management, and spatial planning.
Key features:
- Area Calculation: Compute polygon area in various units (m², km², acres, hectares)
- Perimeter Calculation: Measure boundary length in meters, kilometers, miles, or feet
- Centroid: Find the geometric center of the polygon
- Interactive Drawing: Draw polygons directly on the map
- Multiple Formats: Support for GeoJSON and WKT input formats
How to Calculate Polygon Area
There are two methods to calculate polygon area:
- Manual Input: Paste GeoJSON or WKT polygon coordinates
- Interactive Drawing: Click on map to draw polygon vertices
The calculator uses geodesic calculations to account for Earth's curvature, providing accurate measurements for large polygons. For smaller areas, the tool automatically adjusts for local coordinate systems.
Area calculation formula depends on the coordinate system. For geographic coordinates (latitude/longitude), the tool uses spherical geometry formulas. For projected coordinates, it uses planar geometry.
Understanding Polygon Perimeter
Perimeter is the total length of the polygon boundary. It's calculated by summing the distances between consecutive vertices along the polygon edge.
For geographic polygons (lat/lon coordinates), the tool uses the Haversine formula to calculate geodesic distances, accounting for Earth's spherical shape. This ensures accuracy for large-scale measurements.
Common Use Cases
Polygon calculations are used in various fields:
- Land Surveying: Measure property boundaries and land parcels
- Agriculture: Calculate field sizes for crop planning and yield estimation
- Urban Planning: Analyze zoning areas and development sites
- Environmental Studies: Measure forest coverage, water bodies, and protected areas
- Real Estate: Calculate property sizes for listings and valuations
- Construction: Estimate material quantities based on area measurements
Area and Perimeter Units
The calculator supports multiple units for flexibility:
Area units:
- Square Meters (m²): Standard metric unit
- Square Kilometers (km²): For large areas like cities or parks
- Hectares (ha): Common in agriculture (1 ha = 10,000 m²)
- Acres: Common in US/UK (1 acre = 4,047 m²)
- Square Miles (mi²): For very large areas
Distance units: meters, kilometers, miles, and feet are available for perimeter measurements.
What is Centroid?
The centroid (also called geometric center or barycenter) is the arithmetic mean position of all points in the polygon. It represents the balance point where the polygon would be perfectly balanced if made of uniform material.
Note: For concave or complex polygons, the centroid might fall outside the polygon boundary. The centroid is different from the center of the bounding box, which is simply the midpoint of the extent.