Area & Perimeter Calculator - Calculate Polygon Size

Polygon Vertices

Add Point

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Results

What is an Area & Perimeter Calculator?

An area and perimeter calculator computes the size and boundary length of a polygon from its vertex coordinates. This tool uses GPS coordinates (latitude/longitude) to calculate accurate area and perimeter measurements accounting for Earth's curvature.

Area and perimeter calculations are fundamental in land surveying, property measurement, agricultural planning, construction, urban planning, and geographic analysis. Accurate measurements are essential for legal documentation, resource allocation, and spatial planning.

• Area Calculation: Compute polygon area in square meters, kilometers, acres, hectares, and square miles
• Perimeter Calculation: Measure total boundary length in meters, kilometers, and miles
• Centroid Location: Find the geometric center point of the polygon
• Geodesic Accuracy: Uses great-circle distances for accurate real-world measurements

How to Use the Calculator

Follow these steps to calculate area and perimeter:

1. Enter Vertices: Input latitude and longitude for each corner point of your polygon
2. Add Points: Click 'Add Point' to add more vertices (minimum 3 required)
3. Calculate: Press 'Calculate' to compute area, perimeter, and centroid
4. View Results: See area in multiple units, perimeter, and centroid coordinates

Area Calculation Formula

The area is calculated using the spherical excess formula for geographic coordinates, which accounts for Earth's curvature:

A = R² |Σ (λ₂ - λ₁)(2 + sin φ₁ + sin φ₂)| / 2

Where R is Earth's radius (6,371 km), φ is latitude, and λ is longitude. This formula provides accurate results for polygons of any size, from small plots to large territories.

Common Use Cases

This calculator is valuable for:

• Land Surveying: Measure property boundaries and land parcels for legal documentation
• Agriculture: Calculate field sizes for crop planning, irrigation, and yield estimation
• Real Estate: Determine property areas for listings, appraisals, and sales
• Construction: Estimate material quantities and costs based on area measurements

Understanding Area Units

The calculator provides results in multiple units to suit different applications. Square meters (m²) and hectares are standard in most countries. Acres are commonly used in the US and UK real estate. Square kilometers are ideal for large areas like parks or forests.

Unit conversions: 1 hectare = 10,000 m² = 2.471 acres | 1 acre = 4,047 m² | 1 km² = 100 hectares = 247.1 acres