Plot Area Calculator (6-Sided / Hexagonal)
Estimate the area of a 6-sided hexagonal plot from its six side lengths. Cyclic-polygon method with Marla, Kanal, Acre conversion.
Construction
Plot Area Calculator (6-Sided / Hexagonal)
Generated on April 29, 2026
Plot Shape (6 sides — cyclic polygon, max-area assumption)
Plot Pricing — convert any rate to all others
?What is the Plot Area Calculator (6-Sided / Hexagonal)?
A 6-sided (hexagonal) plot area calculator estimates the area of a hexagonal land parcel from its six side lengths using the cyclic-polygon method. Hexagonal plots are uncommon in conventional grid-based housing schemes but appear at four-road junctions where two opposite corners are chamfered, in cul-de-sac plots within radial street patterns, in older organic settlements in Lahore's walled city or Karachi's old town, in agricultural land bounded by multiple canals/ridges, and in modernist 'parametric' housing schemes that intentionally break the grid for aesthetic and traffic-flow reasons. Because six side lengths alone do not determine a unique hexagon, the calculator returns the cyclic-hexagon area — the maximum possible area for those sides — as the standard surveying convention.
The Formula
Six-sided polygons have 3 degrees of geometric freedom beyond the side lengths — they can flex into many different shapes. The cyclic hexagon (all six vertices on a circle) is the maximum-area configuration, and is the standard convention used by Pakistani surveyors when only side lengths are available. The calculator solves numerically for the circumradius R that makes the six central angles sum to 360°, then computes the area as the sum of six isosceles triangles (each formed by one side and the center). For regular hexagons (all six sides equal), the formula simplifies to Area = (3√3/2) · s² ≈ 2.598 · s².
Common Hexagonal Plot Areas (cyclic estimate, 272 sq ft Marla)
Sample 6-sided plot configurations with cyclic-hexagon area in standard Pakistani units.
| Sides (ft) | Cyclic Sq ft | Marla | Kanal | Acre |
|---|---|---|---|---|
| 30 × 30 × 30 × 30 × 30 × 30 (regular) | 2,338 | 8.60 | 0.430 | 0.0537 |
| 40 × 35 × 50 × 40 × 35 × 50 | 4,250 | 15.62 | 0.781 | 0.0976 |
| 50 × 50 × 50 × 50 × 50 × 50 (regular) | 6,495 | 23.88 | 1.194 | 0.149 |
| 60 × 50 × 60 × 50 × 30 × 30 | 8,920 | 32.79 | 1.640 | 0.205 |
| 80 × 70 × 80 × 70 × 60 × 60 | 16,460 | 60.52 | 3.026 | 0.378 |
| 100 × 120 × 90 × 110 × 80 × 100 | 23,510 | 86.43 | 4.322 | 0.540 |
Put It in Perspective
A 1-Kanal regular hexagonal plot is a striking modernist residential format — uncommon but premium.
Hexagonal cul-de-sac plots in radial schemes are typically 5–10 Marla and command premium pricing.
Lahore walled city hexagons are usually under 1 Kanal due to dense pre-modern geometry.
Hexagonal commercial pavilions (food courts, exhibition halls) are popular at 2–4 Kanal sizes for their interior space efficiency.
Practical Examples
A regular hexagonal plot (all six sides 50 ft) has area 6,495 sq ft ≈ 23.88 Marla ≈ 1.19 Kanal — a notable luxury residential format.
A four-road-junction hexagon with two chamfered corners 60 × 50 × 60 × 50 × 30 × 30 ft has cyclic area ≈ 8,920 sq ft ≈ 32.79 Marla.
An irregular agricultural hexagon 100 × 120 × 90 × 110 × 80 × 100 ft cyclic area ≈ 23,510 sq ft ≈ 0.54 acres.
A cul-de-sac plot with 6 sides 40 × 35 × 50 × 40 × 35 × 50 ft cyclic area ≈ 4,250 sq ft ≈ 15.62 Marla.
Hexagonal-pattern luxury hexagons in modernist schemes typically sit at 1–2 Kanal range.
Walled-city hexagons in Lahore's old town often measure under 1 Kanal due to dense organic geometry.
Frequently Asked Questions
Popular Conversions
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