Plot Area Calculator
Related Triangle area Calculator
Calculate area quickly for common geometric plot shapes and convert results into square metres, square feet, acres, hectares and more.
Useful for real estate, farming, construction, landscaping, and students.
Why use this Plot Area Calculator?
- Supports 7 geometric shapes: Rectangle, Triangle, Trapezoid, Circle, Sector, Ellipse, Parallelogram.
- Per-input length units (metres, feet, inches, yards, km, miles, cm).
- Converts and displays results in multiple area units including square metres, square feet, acres and hectares.
- Fast, accurate, avoids manual errors and suitable for mobile and desktop.
Shapes & Formulas
- Rectangle
- Formula:
Area = Length × Width - Triangle
- Formula:
Area = ½ × Base × Height - Trapezoid
- Formula:
Area = ½ × (a + b) × Heightwhere a and b are the two parallel bases. - Circle
- Formula:
Area = π × r²where r is the radius. - Sector
- Formula:
Area = (θ / 360) × π × r²where θ is the central angle in degrees. - Ellipse
- Formula:
Area = π × a × bwhere a and b are semi-major and semi-minor axes. - Parallelogram
- Formula:
Area = Base × Height
Units supported
Enter lengths in any of these units; internally the tool converts to metres before computing area:
- Metres (m)
- Feet (ft)
- Inches (in)
- Yards (yd)
- Kilometres (km)
- Miles (mi)
- Centimetres (cm)
Output (area) units
Results are shown in:
- Square Metres (m²)
- Square Feet (ft²)
- Square Yards (yd²)
- Square Inches (in²)
- Square Kilometres (km²)
- Square Centimetres (cm²)
- Acre
- Hectare (ha)
How the calculator works
- You select the shape and enter required dimensions (each dimension can have its own length unit).
- The tool converts each input length to metres using accurate conversion factors.
- It applies the shape’s area formula (calculations in m²).
- The tool converts the result to the other area units (sq ft, acre, hectare, etc.) and displays them.
Why convert to metres first? Doing internal calculations in a single base unit (metre) avoids rounding/precision inconsistencies that can appear when mixing units.
Conversion factors (useful reference)
| Unit | Linear conversion to 1 metre | Notes |
|---|---|---|
| Metre (m) | 1 | Base unit |
| Centimetre (cm) | 0.01 m | 100 cm = 1 m |
| Inch (in) | 0.0254 m | 1 in = 2.54 cm |
| Foot (ft) | 0.3048 m | 1 ft = 12 in |
| Yard (yd) | 0.9144 m | 1 yd = 3 ft |
| Kilometre (km) | 1000 m | 1000 m = 1 km |
| Mile (mi) | 1609.344 m | International mile |
Area-specific conversions
Common reference conversions for area:
- 1 m² = 10.7639104167 ft²
- 1 acre = 4,046.8564224 m²
- 1 hectare = 10,000 m²
- 1 km² = 1,000,000 m²
Worked examples
Example 1 — Rectangle
Length = 100 ft, Width = 40 ft
Steps:
- Convert to metres: 100 ft × 0.3048 = 30.48 m; 40 ft × 0.3048 = 12.192 m
- Area in m² = 30.48 × 12.192 = 371.61216 m²
- Area in acres = 371.61216 / 4046.8564224 ≈ 0.09183 acres
- Area in hectares = 371.61216 / 10000 = 0.037161 ha
Example 2 — Circle
Radius = 10 m
- Area in m² = π × 10² = π × 100 ≈ 314.1593 m²
- Area in acres = 314.1593 / 4046.8564224 ≈ 0.07763 acres
- Area in hectares = 314.1593 / 10000 = 0.0314159 ha
Example 3 — Sector
Radius = 1 m, Angle = 90° (quarter circle)
- Full circle area = π × 1² = π ≈ 3.14159 m²
- Sector area = (90 / 360) × π = 0.25 × π ≈ 0.785398 m²
- In acres = 0.785398 / 4046.8564224 ≈ 0.0001941 acres
Tips & Best Practices
- Always use perpendicular height: For triangles/parallelograms/trapezoids, the height must be perpendicular to the base used in the formula.
- Use consistent units if possible: Although the calculator converts automatically, entering values in consistent units reduces user error.
- Round sensibly: For display purposes round results to 3–6 significant digits; keep internal calculations precise.
- Check angles: Sector angle must be in degrees between 0 and 360 (exclusive of 0).
Frequently Asked Questions (FAQ)
Q: Why does the calculator convert values to metres first?
A: Converting to one consistent base unit (metres) ensures accurate application of formulas and consistent conversions to area units (square metres, acres, hectares, etc.).
Q: Are the acre and hectare results accurate?
A: Yes. This calculator uses the standard conversions: 1 acre = 4,046.8564224 m² and 1 hectare = 10,000 m².
Q: Can I use mixed units (e.g., length in feet and width in metres)?
A: Yes. The calculator accepts different units per input; it converts each value to metres internally before computing the area.
Q: What if I need local units (e.g., bigha, guntha)?
A: Those local units can be added easily. If you want, I can extend the tool to include Indian land units like bigha, guntha, gaj, or local acre variations.
Conclusion
This Plot Area Calculator is a practical and precise tool for anyone who needs to measure land or shapes quickly. It supports multiple shapes, per-input unit selection, and converts results into the most useful area units — including acres and hectares.
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