Circular Concrete Calculator

Calculate exactly how much concrete you need for any slab — patios, driveways, garage floors, and more. Get cubic yards, bag counts, and a complete shopping list.

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Slab Calculator

LENGTH WIDTH THICKNESS CONCRETE SLAB
Typical: 4 in (patio), 6 in (driveway)
Price per yd³ Edit to match your local ready-mix price
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Slab Results

Cubic Yards
yd³ (w/ waste factor)
Cubic Feet
ft³
Ready-Mix Cost
estimated material
60 lb Bags
bags needed
80 lb Bags
bags needed
Surface Area
square feet total
Hardware Store Shopping List
Concrete Mix 80 lb bags (Quikrete / Sakrete)
Crushed Gravel Base (4" base layer)
Wire Mesh 6×6 Sheets OR Rebar #4
2×6 Form Boards (perimeter)
6 mil Poly Sheeting (vapor barrier)
Concrete Sealer (apply after 28 days)
⚠️ Always order 10% extra. Stopping mid-pour creates cold joints that weaken the slab structurally.
Slab Thickness Reference
ApplicationMin ThicknessRecommendedPSI
Sidewalk / Walkway3"4"3000
Backyard Patio3.5"4"3000–4000
Residential Driveway4"5"4000
Garage Floor4"5–6"4000
Heavy Equipment Pad6"8"5000

Circular Concrete Project Reference

Common round concrete projects and the math you need for each
Project Diameter Depth Cubic Feet 80lb Bags
Fire pit pad5 ft4"6.5411
Hot tub pad8 ft6"25.1342
Patio circle12 ft4"37.7063
Pier footing (deck)12"36"2.364
Pier footing (heavy)16"48"5.5910
Mailbox base18"24"3.536
Tree ring (12 ft outer, 4 ft inner)annular4"33.5156

All values include +10% waste factor. 80 lb bag yields 0.60 cu ft. For 60 lb bags, multiply 80 lb count by 1.33.

The Circular Concrete Formula

Why round projects use π × r² × depth

For any circular concrete project, the volume formula is π × radius² × depth. The radius is half the diameter. All three dimensions must be in the same units — usually feet for depth conversions.

Example: A 10-foot diameter circular patio at 4 inches thick = π × 5² × (4 ÷ 12) = 3.14159 × 25 × 0.333 = 26.18 cubic feet, or 0.97 cubic yards. Add 10% waste for a final order of 1.07 cubic yards.

For pier footings or sonotubes: Use the diameter of the tube and the full depth of the hole. A 12-inch sonotube at 36 inches deep = π × 0.5² × 3 = 2.36 cubic feet (about 4 bags of 80lb concrete).

For tree rings or annular shapes: Calculate the outer circle, then subtract the inner circle. Outer area − inner area × depth = volume. Our calculator above handles this automatically.

Round vs Square: When to Use Each

Why some projects need the circular concrete formula

Round or cylindrical concrete projects are more common than most homeowners realize. Deck footings (sonotubes), fire pit pads, circular patios, pier foundations, and some pool applications all require the circular volume formula: π × radius² × depth.

The most common mistake is using the rectangular formula on sonotube footings. A 12-inch sonotube at 36 inches deep has a volume of 2.36 cubic feet — if you accidentally calculated it as a 1×1×3 foot rectangular footing you would get 3 cubic feet, causing you to buy 27% too many bags.

Quick formula: sonotube bags

For a quick field estimate: (diameter in inches)² × depth in feet × 0.0082 = cubic feet. Example: 12" tube × 12" × 3ft depth × 0.0082 = 2.36 cu ft. Divide by 0.60 = 4 bags of 80lb concrete.

Round Concrete — The Formula Explained

The formula for a cylinder is π × radius² × height. For a 12-inch sonotube at 36 inches deep: π × 0.5² × 3 = 2.36 cubic feet per footing. Divide by 0.60 for 80lb bag count = 4 bags. The most common error is using diameter instead of radius — always halve the diameter first. A 12-inch tube has a 6-inch radius, or 0.5 feet in decimal.

Round slabs such as fire pit pads, circular patios, and fountain bases use the same formula. Measure across the widest point to get diameter, halve it for radius, then calculate π × radius² × thickness in feet. Add 10% for waste on any round pour because forming a circle always creates more edge waste than a square or rectangle of the same area.

Concrete Slab FAQ

Common questions about calculating and pouring concrete slabs