Boneyard Tools

Duct Size Calculator

This calculator turns an airflow target and a design air velocity into the round duct diameter you need. It divides the CFM by the velocity to find the cross-section in square feet, converts that to square inches, then reports the equivalent round diameter so you can buy the right pipe. Change the velocity to see how faster air lets you use a smaller duct.

How to size a round duct

  1. Type the airflow the duct must carry into the Airflow (CFM) box.
  2. Enter a design air velocity in the Velocity (fpm) box, or leave the default 700.
  3. Read the large equivalent round diameter shown in inches.
  4. Check the two duct-area tiles for the cross-section in square inches and square feet.
  5. Click Copy result to grab the diameter and cross-section as one line.

Examples

Supply branch: 400 CFM at 700 fpm

Airflow 400 CFM, velocity 700 fpm
10.24 in round, 82.29 sq in cross-section (0.5714 sq ft)

Trunk run: 1000 CFM at 900 fpm

Airflow 1000 CFM, velocity 900 fpm
14.27 in round, 160 sq in cross-section (1.1111 sq ft)

Medium branch: 600 CFM at 800 fpm

Airflow 600 CFM, velocity 800 fpm
11.73 in round, 108 sq in cross-section (0.75 sq ft)

Frequently asked questions

How is the duct size calculated from CFM?

The airflow in CFM is divided by the design air velocity in feet per minute, which gives the required cross-section in square feet. That area is multiplied by 144 to get square inches, then the round diameter is found with the circle-area formula, diameter equals the square root of four times the area divided by pi.

What air velocity should I enter?

Roughly 700 to 900 feet per minute is common for residential supply runs, and 600 to 700 keeps return air quieter. Main trunks sometimes run faster and long flexible branches slower. These are rules of thumb, not a replacement for a full Manual D calculation.

Why does the tool report a round diameter?

Flexible duct and rigid spiral pipe are both sold by their round diameter, so an equivalent diameter tells you exactly what to order. Even when you plan a rectangular duct, the round figure is the standard reference point for comparing sizes.

How do I convert the result to a rectangular duct?

Match the square-inch cross-section shown here, then choose height and width whose product is close to it, favoring a ratio near 1 to 3 for efficiency. Sheet metal shops use equivalent-diameter tables because a rectangle needs slightly more area than a round duct to move the same air at the same friction.

Does a higher velocity always mean a smaller duct?

Yes, moving the same airflow faster needs less cross-section, so the diameter shrinks. The trade-off is that higher velocity raises friction loss and air noise, which is why bedrooms and returns usually stay on the slower end of the range.

Why is the diameter not a whole number?

The formula returns the exact equivalent diameter, so 400 CFM at 700 fpm lands at 10.24 inches rather than a stocked size. Round up to the next standard duct, such as a 12 inch pipe, because a smaller duct would push velocity and noise higher than planned.

What happens if I enter zero or a negative number?

Both the airflow and the velocity must be finite numbers greater than zero. If either is zero, blank, or negative, the calculator shows an input error instead of a result, since dividing by zero has no physical meaning here.

Does the tool account for duct length, fittings, or friction?

No, it sizes purely from airflow and velocity, so it does not model static pressure, elbows, or long flex runs. Use it for a fast first-pass duct size, then confirm the design with a friction-rate method or Manual D for the whole system.

Is my data sent anywhere?

No. The math runs entirely in your browser, so the airflow and velocity you type never leave your device and nothing is stored on a server.

Learn more

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