Duct Area / Size Calculator

Duct area and size from airflow and target velocity, with round and rectangular equivalents.

💨 Inputs

Round Duct
Rectangular Duct
Equivalent Diameter
Checked against the application’s typical range (table below)

📊 Results

📚 Typical Design Velocity Ranges (rule of thumb)

ApplicationTypical (FPM)Max (FPM)
Supply air — main trunk600–12001500
Supply air — branch duct400–8001000
Return air — main trunk500–8001000
Return air — branch duct300–600800
Exhaust / relief500–10001500
Aspect ratio≤4:1 preferred (common guideline)
Inputs, results, and method — as an Excel workbook or plain CSV.

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About This Calculator

This duct area and size calculator turns an airflow and a target velocity into a duct size. Work in three modes: enter CFM and velocity to get the required round diameter and area, enter CFM with a height limit to get a rectangular width × height plus equivalent-diameter alternatives, or enter a rectangular width and height to read off its equivalent diameter and aspect ratio. Each result is checked against typical design velocity ranges and the common 4:1 aspect-ratio guideline.

Velocity sets both noise and the duct's footprint. Sizing inside the recommended band keeps air quiet at the diffuser while avoiding oversized, costly ductwork. The rectangular-alternatives table makes it easy to fit a duct into a tight ceiling plenum without pushing the aspect ratio — and therefore friction and cost — too high.

Formula & Method

AreaA (ft²) = Q (CFM) ÷ V (FPM)
Round diameterD = √(4 · A ÷ π)  (A in in²)
Rect. widthW = A ÷ H  (A in in², H = height)
Equiv. diameterDe = 1.3 · (a · b)0.625 ÷ (a + b)0.25
Aspect ratioAR = longer side ÷ shorter side

The core relation is the continuity equation A = Q ÷ V, with 144 used to convert between square feet and square inches. The round diameter inverts the circle area A = π · (D ÷ 2)². The equivalent-diameter constant 1.3 and the 0.625 / 0.25 exponents follow the ASHRAE Fundamentals equation for the round duct with friction loss equal to a rectangular duct of sides a and b. The velocity ranges and the ≤4:1 aspect-ratio preference are common rules of thumb for low-pressure commercial ductwork, not code limits. The check is green inside the typical range, amber below it or between the typical top and the listed maximum, and red above the maximum. Standard round sizes are checked at the next larger size, whose velocity is the one the installed duct will see.

Frequently Asked Questions

How do I find the duct area from CFM and velocity?
Divide the airflow by the velocity. Cross-sectional area in square feet equals CFM divided by velocity in feet per minute (FPM). For example, 1,200 CFM at 800 FPM needs 1,200 / 800 = 1.5 ft squared, which is 216 square inches. This calculator does that division, then converts the area to a round diameter or a rectangular width and height.
How is the round duct diameter calculated from the area?
The diameter comes from inverting the circle-area formula: D = the square root of (4 times A divided by pi), with the area A in square inches. The tool then suggests the next larger standard round size and reports the actual velocity at that standard size so you can confirm it still falls inside the recommended range.
What is equivalent diameter and why does it matter?
Equivalent diameter is the round duct that has the same friction loss as a given rectangular duct, not the same area. It is computed as De = 1.3 times (a times b) raised to the 0.625 power, divided by (a plus b) raised to the 0.25 power, where a and b are the rectangular sides. It lets you compare rectangular and round ducts on equal footing when checking pressure drop.
Why keep the duct aspect ratio at or below 4:1?
A high aspect ratio (a flat, wide duct) increases surface area, sheet-metal cost, and friction loss for the same airflow. As a common design guideline (not a code limit), an aspect ratio of 4:1 or lower is preferred; flatter ducts need more sheet metal and reinforcement. Aspect ratio is the longer side divided by the shorter side, and the calculator flags any rectangular size that exceeds 4:1 so you can choose a squarer, more efficient shape.

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AIM Works · launches Oct 15, 2026

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AIM Works brings peak loads, ASHRAE 62.1 ventilation, equipment and plant sizing, compliance checks, Design Review, and engineering deliverables into one connected mechanical design workspace.

  • Peak loads (RTS or CLTD/CLF) and ASHRAE 62.1-2019 ventilation
  • Equipment and plant sizing against ASHRAE 90.1-2022 efficiency floors
  • Design Review that cites the check behind every finding
  • An AI co-pilot that drafts changes — you approve each one

Duct and pipe distribution sizing is planned for V2 — at launch, keep using this calculator for that step.

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Results are design estimates for preliminary sizing. Verify final designs against applicable codes and standards — engineering judgment and a licensed professional engineer’s review are required.