The Field Area Calculator helps farmers, engineers, and land surveyors quickly measure the area of a piece of land. Knowing the exact area is very important for planning crops, irrigation, fencing, and budgeting. This tool removes the guesswork by using basic measurements or GPS coordinates to give accurate results for fields of any shape. This calculator belongs to the Land Measurement Calculator category and is used in agriculture, construction, and landscaping.
formula of Field Area Calculator
- For a rectangular or square field:
Field Area = Length × Width
Where:
Length is the longer side (in meters, feet, etc.)
Width is the shorter side (same unit)
Field Area comes out in square units like m², ft², acres, or hectares
- For an irregular polygon-shaped field (using coordinates):
Field Area = (1/2) × | Σ (xᵢ yᵢ₊₁ − xᵢ₊₁ yᵢ) |
Where:
xᵢ, yᵢ are the coordinates of each corner point, listed in order around the boundary
Connect the last point back to the first to close the shape
- For a circular field:
Field Area = π × r²
Where:
r is the radius of the field
π is about 3.14159
Common unit conversions:
1 acre = 43,560 ft²
1 hectare = 10,000 m²
Common Field Size and Unit Reference Table
This table shows simple conversions and common sizes that people often check.
| Unit | Square Feet (ft²) | Square Meters (m²) | Acres | Hectares |
|---|---|---|---|---|
| 1 Acre | 43,560 | 4,046.86 | 1 | 0.4047 |
| 1 Hectare | 107,639.1 | 10,000 | 2.471 | 1 |
| Football Field | ~57,600 | ~5,350 | 1.32 | 0.53 |
This makes it easy to compare your field to standard units.
Example of Field Area Calculator
Let’s look at three quick examples.
- Rectangular Field:
Length = 200 feet
Width = 150 feet
Area = 200 × 150 = 30,000 ft²
In acres: 30,000 ÷ 43,560 ≈ 0.69 acres - Circular Field:
Radius = 50 meters
Area = π × (50)² = 3.14159 × 2,500 = 7,853.98 m² - Irregular Field (simple triangle as an example):
Points: (0,0), (50,0), (50,40)
Area = (1/2) × | (0×0 + 50×40 + 50×0) − (50×0 + 50×0 + 0×40) |
Area = (1/2) × | (0 + 2000 + 0) − (0 + 0 + 0) |= (1/2) × 2000 = 1,000 units²
Most Common FAQs
A field area calculator saves time and reduces mistakes. It helps plan fertilizer, seeds, and irrigation needs based on the correct field size.
Yes. By using GPS points or boundary coordinates, you can find the area of fields with uneven shapes.
It depends on your location. Acres are common in the US and UK. Hectares are used in many other countries and follow the metric system.