Patio Square Footage and Layout Calculator
Calculate the square footage of your patio, the number of pavers or tiles needed, and total material quantities including waste allowance.
Formulas Used
Rectangle / Square Area: A = Length × Width
Circle Area: A = π × (Diameter ÷ 2)²
L-Shape Area: A = (L₁ × W₁) + (L₂ × W₂)
Effective Paver Unit Area: (Paver Length + Joint) × (Paver Width + Joint) ÷ 144 = sq ft per paver
Pavers Needed (base): Patio Area ÷ Effective Paver Unit Area
Pavers Needed (with waste): Base Count × (1 + Waste% ÷ 100)
Base / Sand Volume (cu ft): Patio Area × (Depth in inches ÷ 12)
Volume (cu yd): Volume (cu ft) ÷ 27
Assumptions & References
- Joint size is added to each paver dimension to account for the shared gap between adjacent pavers.
- A 10% waste factor is the industry standard for straight cuts; diagonal or complex patterns may require 15–20%.
- Gravel base density assumed at ~1.4 tons per cubic yard (compacted crushed stone).
- Sand bedding density assumed at ~1.35 tons per cubic yard (coarse bedding sand).
- A 4-inch compacted gravel base is standard for residential patios; increase to 6–8 inches for driveways or heavy loads.
- A 1-inch sand bedding layer is the standard recommendation per ICPI (Interlocking Concrete Pavement Institute) guidelines.
- L-shape area is calculated as the sum of two non-overlapping rectangles; adjust dimensions accordingly.
- Circle perimeter = circumference = π × Diameter.
- All area results are in square feet; divide by 9 to convert to square yards.