Area Calculator
Calculate the area of common geometric shapes: rectangle, circle, triangle, and trapezoid. It includes automatic conversion between square meters (m²), square feet (ft²), and square varas (the traditional Guatemalan unit used for land).
A rectangular plot of 10 m × 5 m has an area of 50 m², which equals 538.2 ft² or about 71.56 square varas. Just pick the shape, enter the measurements, and the calculator returns the result in all three units.
Area formulas
A = length × width
A = π × r²
A = (base × height) / 2
A = ((long base + short base) / 2) × height
Step-by-step example (rectangle)
- Length = 10 m, width = 5 m
- A = 10 × 5 = 50 m²
- In square feet: 50 × 10.764 = 538.2 ft²
- In square varas: 50 × 1.4312 = 71.56 varas²
Scenario table (same engine logic)
| Shape | Measurements | Area (m²) | Area (ft²) | Area (varas²) | |---|---|---|---|---| | Rectangle | 10 m × 5 m | 50.00 | 538.20 | 71.56 | | Rectangle | 20 m × 10 m | 200.00 | 2,152.80 | 286.24 | | Circle | radius 7 m | 153.94 | 1,656.99 | 220.31 | | Triangle | base 8 m, height 6 m | 24.00 | 258.34 | 34.35 | | Trapezoid | bases 12 m and 8 m, height 5 m | 50.00 | 538.20 | 71.56 |
What is a square vara?
The vara is a traditional unit widely used in Guatemala to measure land and properties. One Guatemalan vara equals 0.8359 linear meters, and one square vara equals 0.6987 m².
- 1 square vara = 0.6987 m²
- 1 m² = 1.4312 square varas
- 1 manzana = 10,000 square varas = 6,987 m² ≈ 0.7 hectares
Useful conversions
| From | To | Multiply by | |---|---|---| | m² | ft² | 10.764 | | ft² | m² | 0.0929 | | m² | varas² | 1.4312 | | varas² | m² | 0.6987 |
Common uses
- Land and lots: calculate area for buying, selling, or legal registration.
- Construction: estimate materials such as flooring, paint, or roofing.
- Agriculture: measure crop parcels.
- Architecture: plans and space design.
Reading the result is straightforward: in Guatemala, land transactions are usually quoted in square varas or manzanas, while construction work is measured in square meters. A common mistake is confusing area with perimeter — fencing a lot requires perimeter, not area.
This tool calculates regular shapes. For irregular land, split it into known figures or hire a professional land survey. The vara is a traditional measure; always confirm which unit is used in the contract or deed before signing.
Frequently asked questions
Split the land into regular shapes (rectangles and triangles), calculate each area, and add them up. For legal precision, use a professional topographic survey.
One manzana in Guatemala equals 10,000 square varas, approximately 6,987 m² or 0.7 hectares.
The Guatemalan vara measures 0.8359 meters (83.59 cm). It is a colonial-era unit still used in real estate transactions in Guatemala.
Multiply square meters by 10.764. For example: 50 m² × 10.764 = 538.2 ft².
Area measures the surface in square units; perimeter measures the outline in linear units. A 10 m × 5 m rectangle has 50 m² of area and 30 m of perimeter.
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