A hoop house size calculator estimates the square footage and cubic volume of a Quonset-style greenhouse from its length, width, and height, helping you plan materials, heating, and spacing. You enter the three dimensions in feet or meters, and it returns the floor area, the volume of air to condition, and the approximate surface area of the cover. This article explains the math, how to choose dimensions for your needs, and common pitfalls to avoid.
Formula
The calculator uses three standard geometric formulas for a Quonset (half-cylinder) hoop house. The floor area is simply length times width: Area = L × W, where L is the length and W is the width, both in feet (or meters). The volume is the cross-sectional area of the hoop times the length. For a half-cylinder of radius r = W/2 and height h, the cross-section is half a circle plus a rectangle (the straight side walls, if any). Most hoop houses have vertical side walls of height h_w and a curved roof; the total height H = h_w + r. The calculator assumes the height you enter is the total height at the peak, so the side wall height is H – r. The cross-sectional area is then: Area_cross = (π × r × (H – r)) + (π × r² / 2). Multiply by L to get volume. The cover area is the surface of the curved roof (half a cylinder) plus the two end walls (each a rectangle topped by a semicircle). The curved roof area is π × r × L, and each end wall area is (H – r) × W + (π × r² / 2). So total cover area = π × r × L + 2 × [(H – r) × W + (π × r² / 2)]. All results are in square feet or cubic feet; multiply by 0.0929 for square meters and 0.0283 for cubic meters.
Worked Example
Using the default values: length = 20 ft, width = 10 ft, height = 6 ft. First, the floor area: 20 × 10 = 200 ft². For volume, r = 10/2 = 5 ft, side wall height = 6 – 5 = 1 ft. Cross-sectional area = (π × 5 × 1) + (π × 25 / 2) = 15.708 + 39.270 = 54.978 ft². Volume = 54.978 × 20 = 1099.56 ft³, which rounds to 1099.6 ft³. For cover area: curved roof = π × 5 × 20 = 314.159 ft². Each end wall = (1 × 10) + (π × 25 / 2) = 10 + 39.270 = 49.270 ft². Two ends = 98.540 ft². Total cover = 314.159 + 98.540 = 412.699 ft², which rounds to 412.7 ft². These match the calculator’s outputs.
Why Size Matters
The size of a hoop house affects everything from the number of plants you can grow to the cost of heating and the strength of the frame. A larger volume means more air to warm in winter, so your heating bill rises faster than the floor area. The cover area determines how much plastic sheeting you need to buy, which is often the biggest material cost. The floor area sets your plant spacing and walkways. A common mistake is to size only for plant beds and forget the working space; you need at least 2–3 feet of aisle for a wheelbarrow or cart. Also, local building codes may limit height or require permits for structures over a certain size, so check before you build.
How to Choose Dimensions
Start with the width, because it dictates the hoop span and the headroom. A 10-foot-wide hoop gives about 5 feet of headroom at the peak, which is fine for seedlings and short crops. A 20-foot-wide hoop gives 10 feet of headroom, allowing you to stand upright and grow tall tomatoes or trellised cucumbers. Length is more flexible; you can extend a hoop house by adding more hoops, but widening requires a new design. Height is often determined by the width (a half-circle has height = width/2), but you can add straight side walls to increase height without widening the base. For a given width, a taller hoop increases volume and cover area, which raises costs. A good rule of thumb is to choose a width that gives you the headroom you need, then a length that fits your garden space and budget.
Common Mistakes and Misconceptions
One frequent error is mixing units: entering length in feet and width in meters, which throws off every result. Another is assuming the volume is a simple half-cylinder when you have side walls; the extra rectangular volume can be significant. Many people also forget to include the end walls in the cover area, underestimating plastic needs by 10–20%. A misconception is that a taller hoop is always better; in reality, it increases wind load and heat loss, so you should only build as high as you need. Finally, remember that the calculator gives the geometric volume, not the actual air volume if you have internal partitions or benches – those reduce the usable space.
Cost and Material Implications
While this calculator doesn’t price anything, the cover area and volume directly affect your budget. Polyethylene film is sold in rolls of a certain width and length; you’ll need to buy enough to cover the calculated area plus overlap for fastening. The frame (hoops, purlins, and baseboards) is typically spaced every 4–6 feet, so a longer hoop house needs more hoops. Heating costs scale with volume and the temperature difference between inside and outside; a rough rule of thumb is that each 10°F (5.6°C) rise requires about 1 BTU per cubic foot per hour, but this varies widely with insulation and wind. For a 20×10×6 hoop (volume ~1100 ft³), that’s about 1100 BTU/h for a 10°F rise – a small heater. Doubling the length doubles the volume and heating load.
Comparing to Other Structures
Hoop houses are the cheapest and simplest season-extending structure, but they have trade-offs compared to cold frames, high tunnels, and greenhouses. A cold frame is much smaller and lower, usually 1–2 feet tall, and is used for hardening off seedlings or protecting a single bed. A high tunnel is essentially a larger hoop house without permanent heating; it’s often 20–30 feet wide and 100+ feet long, used for commercial production. A greenhouse has a rigid frame (glass or polycarbonate) and often includes heating, ventilation, and benches; it costs significantly more per square foot. The calculator here is for a hoop house, but you can adapt it to a high tunnel by using the same formulas. For a cold frame, you’d use a simple rectangular volume formula.
Safety and Structural Notes
This calculator provides geometric dimensions only; it does not account for wind, snow, or soil conditions. A hoop house acts like a sail, so in windy areas you need to anchor the base with ground posts or concrete footings. Snow load can collapse a hoop if the frame is too light or the plastic isn’t sloped enough; a steeper roof sheds snow better. Always follow the manufacturer’s spacing and anchoring recommendations for the hoops you buy. If you live in an area with heavy snow, consider a peaked roof design instead of a half-circle. For any structure larger than a small hobby hoop, consult a local engineer or extension service for wind and snow load ratings. Never enter a hoop house during a severe storm, and ensure the plastic is securely fastened to avoid tearing.
Frequently Asked Questions
How do I convert square feet to square meters? Multiply the square footage by 0.0929. For example, 200 ft² is about 18.6 m². For cubic feet to cubic meters, multiply by 0.0283.
What is the best width for a backyard hoop house? For most home gardeners, 10–12 feet wide is a good balance. It gives enough headroom to stand and work, fits in a typical yard, and is easier to heat than a wider structure. A 10-foot wide hoop with 6-foot peak height provides about 5 feet of usable headroom at the center.
How much plastic do I need for a 20×10 hoop house? Using the cover area from the calculator, about 413 ft². Plastic film is usually sold in 20 or 24-foot wide rolls, so you’d buy a length of 20–25 feet to cover the roof and ends, allowing for overlap. Always add 10% for waste and fastening.
Can I use this calculator for a high tunnel? Yes, the formulas are the same for any Quonset-style arch structure. Just enter the length, width, and peak height. High tunnels are often larger, so check that your dimensions are within the calculator’s limits.
Why does the calculator ask for height separately if width determines it? Because not all hoop houses are perfect half-circles. You might have straight side walls, which increase the peak height without widening the base. Entering the actual peak height gives a more accurate volume and cover area.
How do I estimate heating needs from the volume? A rough rule of thumb is 1 BTU per cubic foot per hour for each 10°F (5.6°C) temperature rise above outside temperature. For a 1100 ft³ hoop, that’s 1100 BTU/h for a 10°F rise. This ignores insulation and wind, so it’s only a starting point.
Related
Formula used
in l | Length | ft | 20 | 0 | 200 in w | Width | ft | 10 | 0 | 60 in h | Height | ft | 6 | 0 | 20 out area | Floor Area | ft² | l * w | 1 out vol | Volume | ft³ | (pi * (w/2) * h / 2 + (w * h)) * l | 1 out cover | Cover Area | ft² | (pi * (w/2) * sqrt((w/2)^2 + h^2) + w * h) * l | 1
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
- Crop Sensor Calculator: FOV & 35mm Equivalent80.0 mm
- Farm Fencing Estimate Calculator: Posts and Length600.0 ft
- Daily Light Calculator: How Much Light Do You Need?21.6 mol/m²/day
- CO2 Grow Room Calculator for Home
- Daily Light Integral (DLI) Calculator23.04 mol/m²/day
- Field Capacity Calculator: Acres per Hour17.45 acres/h