Direct concrete answer

How much concrete for a 12 foot circular patio?

A 12 ft diameter round patio requires 1.40 cubic yards of concrete, or 63 bags of 80-lb premix before field waste. With 10% overage, order about 1.6 cubic yards.

Quick answer

Project dimensions12 ft diameter x 4 in
Area or count113 sq ft
Volume37.70 cubic feet
Volume1.40 cubic yards
Metric volume1.07 cubic meters
80-lb bags needed63 bags
60-lb bags needed84 bags
50-lb bags needed101 bags
Ready-mix order with 10% overage1.6 cubic yards
Ready-mix planning cost at $150/yd3$230
Bagged planning cost at $5/80-lb bag$315

Calculation steps

  1. Find radius: 12 ft diameter / 2 = 6.00 ft radius.
  2. Calculate circular area: 3.1416 x 6.00 x 6.00 = 113.10 sq ft.
  3. Calculate volume: 113.10 sq ft x 0.333 ft = 37.70 ft3.
  4. Convert to cubic yards: 37.70 ft3 / 27 = 1.40 yd3.
  5. Add waste for ordering: 1.40 yd3 x 1.10 = 1.6 yd3. Round according to the supplier's ordering increment.

This is the exact math behind the answer, but the field order should reflect the actual formed dimensions, the base condition, and the supplier's minimum order policy. For a circular slab, measure diameter across the finished form. A small radius error repeats around the whole edge.

Number of bags by size

Bag counts use common premix yields and round up to whole bags. Always check the yield printed on the exact product before buying because specialty mixes can differ.

Bag size Common yield Calculation Bags to buy
80-lb bag 0.6 ft3 37.70 / 0.6 63
60-lb bag 0.45 ft3 37.70 / 0.45 84
50-lb bag 0.375 ft3 37.70 / 0.375 101

Cost snapshot

At a planning price of $150 per cubic yard, the waste-adjusted ready-mix concrete is about $230 before short-load, delivery, pump, labor, forms, base stone, reinforcement, tax, or finish upgrades. The 80-lb bag material estimate is about $315 before mixer rental or labor.

Cost is where small concrete jobs surprise people. A short-load fee can make the delivered price look high, while bagged concrete can look cheap until the crew has to mix 63 heavy bags fast enough to place and finish one continuous surface. Use the material number as a quote starting point, not as the final installed price.

Ready-mix vs bagged concrete

Round patios often have more edging waste than square slabs, so keep the overage rather than ordering the exact cylinder volume.

As a rule of thumb, ready-mix becomes easier once a project is near or above one cubic yard. This page's base volume is 1.40 cubic yards, so the practical choice depends on access, crew size, weather, finish timing, and whether the supplier charges a short-load fee. If the pour must be continuous, the truck often reduces risk even when the invoice includes a delivery charge.

Recommended PSI and reinforcement

Use Typical planning PSI Notes
Patio or walkway3,000 PSILight foot traffic on compacted base.
Garage floor3,500 PSIVerify vapor barrier, joints, and reinforcement.
Driveway3,500 to 4,000 PSIUse higher strength for trucks, RVs, or weak soil.
Footings3,000 to 4,000 PSIPlan and local code control final mix.

Use 3,000 PSI for many patios and upgrade if the slab carries a hot tub, outdoor kitchen, or vehicle load.

Use reinforcement, fiber, or mesh based on patio size, soil, and cracking-control preference. Keep reinforcement supported within the slab thickness.

Project-specific notes

This answer is for a 12 ft diameter round patio. The geometry is straightforward, but the site details decide whether the estimate is clean in the field. Before ordering, compare the calculated dimensions against the actual form layout, the base depth, and the planned finish elevation.

  • A 12 ft circle gives more usable seating area, but curved edging makes consistent thickness more important.
  • If the patio connects to a walkway, estimate the walkway as a separate rectangle.
  • If the project includes thickened edges, a landing, a flare, a step, or a separate footing, calculate that concrete separately and add it to the base result.

Common mistakes

  1. Using radius when the formula expects diameter, or diameter when the formula expects radius.
  2. Ignoring extra waste from curved forms and edge finishing.
  3. Connecting a walkway or step landing to the patio without adding that separate volume.

The expensive mistake is running short during placement. The second most expensive mistake is ordering more concrete than the site can place before it starts setting. The best order is not the smallest number; it is the number that fits the measured work, the crew, the truck access, and the supplier's rounding policy.

What to say when ordering

I am estimating a 12 ft diameter round patio. My calculated volume is 1.40 cubic yards, and I want to plan around 1.6 cubic yards with 10% overage. Can you confirm the order size, mix strength, short-load fee, delivery charge, chute reach, and whether this job needs a pump or different placement method?

Related calculations

Sources and methodology

BuilderCalc uses standard geometric volume formulas, the 27 cubic feet per cubic yard conversion, common premix bag yields, and planning cost ranges that should be verified with local suppliers.