Choose rectangles, circles, triangles, or trapezoids for fast estimates on site today. Or paste survey coordinates to compute hectares, acres, and square units securely.
Use these sample inputs to verify results and learn workflows.
| Method | Inputs | Area (m²) | Area (ft²) | Notes |
|---|---|---|---|---|
| Rectangle | Length 20 m, Width 15 m | 300 | 3,229.173 | Common residential plot footprint. |
| Circle | Radius 10 m | 314.159 | 3,381.014 | For circular tanks, pits, or round pads. |
| Trapezoid | a 18 m, b 12 m, height 10 m | 150 | 1,614.587 | Useful for tapered boundaries. |
| Coordinates | (0,0), (20,0), (20,15), (0,15) | 300 | 3,229.173 | Matches the rectangle via survey points. |
For points (x₁,y₁)…(xₙ,yₙ), closing back to (x₁,y₁):
Perimeter = Σ distance between consecutive points, including the closing segment.
Unit conversions are applied after calculating area in square meters.
Plot area controls feasibility, setbacks, drainage space, and usable footprint. Quantity takeoffs often start with square area for grading, paving, turf, and slab work. Even small percentage errors can shift material volumes and budgets. Keeping a consistent unit system improves coordination between design and field teams.
Use standard shapes when boundaries are orthogonal or clearly curved. Rectangles, squares, and circles are fast for preliminary estimates and concept layouts. When edges are irregular or based on site marks, a coordinate polygon is safer. This calculator supports both approaches so you can verify values quickly.
For rectangles, multiply length by width to obtain plan area. For triangles, use one half times base times height. For circles and ellipses, π links curvature to area through radii or semi-axes. These relationships are widely used for pads, round tanks, and tapered boundaries.
Survey points define a closed polygon around the plot perimeter. The shoelace method sums cross-products of consecutive coordinates. Taking half of the absolute sum returns the enclosed plan area. Ordering points around the boundary is essential to avoid self-crossing shapes.
Field notes may arrive in meters, feet, or yards, depending on standards. The calculator converts inputs to meters internally, then reports area in multiple units. It also provides acres and hectares for land documentation and approvals. Consistent reporting reduces rework when drawings, bills, and permits reference area.
Perimeter supports estimating fencing, curbs, edging, and boundary treatments. For coordinate polygons, perimeter sums the distance of every boundary segment. For rectangles, squares, circles, and ellipses, perimeter is computed directly. Some shapes need extra sides to determine perimeter, so it may be unavailable.
Confirm that dimensions are positive and match drawing labels. For coordinates, ensure there are at least three points and the unit selection matches. Review the point order: clockwise or counterclockwise both work, but mixed order fails. Compare against CAD area properties or survey documents for confidence.
Use plot area to size excavation limits, concrete pours, paver quantities, and landscaping. Planners often translate area into cost per square unit for early budgeting. The CSV export supports spreadsheets and audit trails, while the PDF suits approvals. Documented calculations help resolve disputes and speed up decision reviews.
No. It returns plan area projected on a horizontal plane. For steep terrain, you need a surface model or survey-grade methods to estimate true ground surface area.
Enter one point per line as “x, y” or “x y”. Use the same unit you select in the calculator. The polygon closes automatically from the last point to the first.
The shoelace method assumes points are ordered around the boundary. If points jump across the shape, the polygon may self-intersect and produce incorrect area. Reorder points clockwise or counterclockwise.
It is suitable for planning and quick verification. Legal documents typically require licensed survey data and jurisdiction-specific standards. Always confirm final numbers with official survey plans.
Some shapes, like triangles and trapezoids entered with only height and parallel sides, lack enough side lengths to determine the full boundary length. Provide full side data or use coordinates for perimeter.
Use the unit referenced in drawings and contracts. The calculator provides multiple outputs so teams can cross-check. Keep one primary unit for scope, then add conversions for procurement and reporting.
Circle perimeter is exact. Ellipse perimeter uses a reliable approximation commonly used in engineering. For extreme aspect ratios, verify with design software if perimeter drives a critical estimate.
Accurate plot areas improve planning, budgeting, and approvals.
Measure carefully, calculate confidently, and document every project decision.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.