HVAC & Plumbing

Ductwork Sizing Calculator

Size round duct from airflow and target air velocity.

Feet per minute. Residential branches 600–900, trunks 700–1200. Higher is noisier.
Round duct diameter in
Cross-sectional area
Equivalent height for a 12 in wide rectangle in

How this calculator works

area = CFM ÷ velocity · diameter = √(4 × area ÷ π)

Round duct at the same area carries more air than rectangular because it has less surface friction per unit of flow. Round up to the next standard size: 4, 5, 6, 7, 8, 9, 10, 12, 14, 16 inches.

Switch the site to metric — the control is in the footer — and your inputs, your results and the tables below follow. The formula, the constants, the guidance text and the sources stay in US units on purpose: that is how the standards they come from are written, and restating them would detach each figure from the document you are meant to be able to check it against.

Where these numbers come from

Cited to a specific edition on purpose — table numbers and values move between cycles. Confirm against whichever edition is enforced locally.

Worked example

With airflow 400 , target velocity 700 , this calculator returns 10.24 in.

Duct diameter for common branch runs

Each row is a link that fills in the calculator above. Send one and the other end sees the same figures you do.

JobSizeRound duct diameter
Bedroom supply 100 × 600 5.53 in
Living room supply 200 × 700 7.24 in
Main trunk, small system 800 × 900 12.77 in
Main trunk, three-ton system 1200 × 900 15.64 in
Return air run
Returns run slower to stay quiet
400 × 500 12.11 in

Round up to the next stocked size: 4, 5, 6, 7, 8, 9, 10, 12, 14, 16 in.

Frequently asked questions

What size duct do I need for 400 CFM?

About a 10 inch round duct at 700 fpm, so use the next standard size up. Pushing the same 400 CFM through an 8 inch duct raises velocity to 1,150 fpm and makes it audible.

What velocity should residential ductwork run at?

Six hundred to 900 fpm in branches and 700 to 1,200 in trunks. Above roughly 900 fpm at a register, air noise becomes noticeable in a quiet room.

Is round or rectangular duct better?

Round, on every measure except fitting into a joist bay. It has less friction per unit of flow, less surface area for heat loss and no corners for turbulence. Use rectangular only where space forces it.

Does flexible duct need to be larger?

Yes, effectively. Flex duct has roughly three times the friction of smooth metal even when pulled tight, and far more when it sags. Size up one increment and keep runs short and straight.

Use the ductwork sizing calculator on your site, free

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