HVAC Duct Calculator
Size supply ducts for a target airflow in CFM.
What size duct do I need for the airflow?
Duct size comes from airflow divided by target velocity. At a quiet 800 FPM, 400 CFM needs a cross-section of 72 square inches, which is about a 10 inch round duct. Keep supply runs between 700 and 900 FPM to balance noise against duct size, then round up to the next standard size.
HVAC Duct Calculator
Inputs
Lower is quieter; 700-900 FPM suits most supply runs.
Results
Round Duct
10 in
Round up to standard size
Exact Diameter
9.57 in
Cross Section
72 sq in
Air Velocity
800 FPM
Estimates update instantly as you type. Confirm against local code before ordering materials.
Undersized ducts are the hidden cause of noisy, uneven, and inefficient HVAC systems. This calculator sizes a duct from the airflow it must carry and the target air velocity, returning the round duct diameter, the exact diameter before rounding, the cross-sectional area, and the equivalent square duct dimension.
Velocity is the lever that balances noise against duct size: lower velocity is quieter but needs a larger duct, while higher velocity saves space at the cost of noise and friction. Use the result as a starting size, then confirm against a full Manual D design for the complete system.
How duct size is calculated
Duct size comes from the required airflow (CFM) and a target air velocity. The cross-sectional area equals CFM divided by velocity, which converts to a round duct diameter.
Area (sq ft) = CFM ÷ Velocity (FPM); Diameter = √(Area ÷ 0.7854) × 12Round duct size by airflow
Approximate round duct diameter at about 800 FPM velocity.
| Airflow | Cross section | Round duct |
|---|---|---|
| 100 CFM | 18 sq in | 5 in |
| 200 CFM | 36 sq in | 7 in |
| 400 CFM | 72 sq in | 10 in |
| 800 CFM | 144 sq in | 14 in |
| 1,200 CFM | 216 sq in | 17 in |
These are starting sizes; confirm against a full Manual D design for the complete system.
How to use it
- 1Enter the required airflow for the run in CFM.
- 2Set the target air velocity in feet per minute.
- 3Review the recommended round duct diameter.
- 4Round up to the nearest standard duct size.
Key terms explained
- CFM
- Cubic feet per minute, the volume of air the duct must move to condition a space.
- FPM
- Feet per minute, the air velocity inside the duct. Lower velocity is quieter.
- Cross-sectional area
- The open area of the duct, equal to airflow divided by velocity.
- Equivalent diameter
- The round duct size that carries the same airflow as a given rectangular duct.
Worked examples
Bedroom supply
100 CFM at 700 FPM calls for about a 5 inch round duct.
Main trunk
800 CFM at 900 FPM needs roughly a 13 inch round duct.
Pro tips from the field
- 1Keep supply trunk velocity around 700 to 900 FPM in homes to limit noise.
- 2Always round up to the next standard duct size; rounding down chokes airflow.
- 3Rectangular ducts need a larger area than round for the same airflow due to friction.
- 4This sizes a single run, a full system needs a Manual D calculation for balance.
Common mistakes
- Designing for too high a velocity, which creates noise.
- Sizing flex duct the same as smooth metal duct.
- Ignoring total static pressure across the system.
Where it gets used
Branch sizing
Quickly size a supply or return branch to a room from its CFM target.
Retrofit checks
Verify whether existing ducts can carry a larger system before upgrading.
Design starting point
Set initial duct sizes before a full load and distribution calculation.
Frequently asked questions
HVAC Duct Calculator for Airflow Sizing
Right-sized ductwork is the difference between a comfortable, quiet system and one that struggles. The FoxCalc HVAC duct calculator converts your required CFM and target velocity into a recommended round duct diameter.
Proper duct design also depends on total static pressure, fitting losses and equipment specs. Use this as a starting point and verify with a full Manual D calculation for critical systems.
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