Barrel Roof Calculator: Area, Arc Length, Volume, and More

Jack Gray is an independent commercial roof consultant with over 25 years of experience in the roofing industry. He's trying to make the roofing information you find on the internet better, one article at a time.
Barrel roof on a long brick building.
Barrel roof

What Is a Barrel Roof?

A barrel roof is a curved roof that resembles the top half of a cylinder or a barrel laid horizontally. Instead of sloping flat planes like a gable roof, a barrel roof has a continuous, smooth arc from one side of the structure to the other. This curvature can span the full width of the building, creating a distinct arched appearance both inside and out.

Barrel roofs are structurally different from gable or hip roofs. They have no ridge or peak. The curved surface runs from one low eave edge to the opposite edge, with the highest point occurring at the center of the arc. Because the arc defines the roof’s shape, framing a barrel roof typically involves curved or segmented supports (like laminated beams or trusses) rather than simple rafters.

Barrel roofs fall into two geometric types: circular and elliptical.

  • circular barrel roof is shaped as the upper portion of a circle. The arc follows the geometry of a circular segment, meaning the curvature is constant. Circular barrel roofs tend to be easier to design and build than elliptical barrel roofs and are often used in applications where simplicity and structural uniformity is important.
  • An elliptical barrel roof is shaped as the upper half of a horizontally centered ellipse. The curvature gradually changes from flatter near the eaves to more steeply curved near the center. This profile can be more visually appealing or desirable due to the designer’s ability to control the volume contained by the roof for a given width.

This calculator works for both roof types. When the elliptical mode is selected, it assumes that the roof surface follows the upper half of an ellipse that is horizontally centered across the building’s span. Unless the roof is a true semi-circle with a height that is exactly half the width, this results in a more gradual curve and a slightly different arc length, surface area, and roof volume compared to a circular arc of the same width and height.

Barrel roofs are often used where a clear-span interior is needed, such as gymnasiums, hangars, transit terminals, and warehouses. Their continuous curve helps shed water efficiently, and the arched design can distribute loads evenly, reducing the need for internal supports. Due to the skill and engineering requirements, barrel roofs tend to be more difficult and expensive to build than standard pitched roofs.

Barrel Roof Calculator

Barrel Roof
Calculator




Barrel Roof Calculator – USA Mode

Results:

Roof Arc Length:
Total Roof Surface Area:
Roof Footprint Area:
% Area Increase Over Flat Roof:
Total Roof Volume (Volume above Eaves):
Radius of Theoretical Circle:
Central Angle of Roof Arc:
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About the Author

Jack Gray spent 20 years as a principal roof consultant with the Moriarty Corporation, an award-winning building enclosure consultant firm founded in 1967. Mr. Gray has worked in the roofing industry for over 25 years, with training and practical experience in roof installation, roof inspection, roof safety, roof condition assessment, construction estimating, roof design & specification, quality assurance, roof maintenance & repair, and roof asset management. He was awarded the Registered Roof Observer (RRO) professional credential in 2009. He also served as an infantry paratrooper in the 82nd Airborne Division and has a B.A. from Cornell University.