Pivot Irrigation Calculator
Calculate center pivot coverage area, application depth, GPM/acre, and peak demand capacity.
About this calculator
Center pivot systems irrigate a circle, not a square, so this calculator's core job is converting a linear pivot length into circular area using A = πr², then layering the end-gun's extra throw radius on top as its own ring of additional coverage. From there it works out application depth per revolution: total gallons pumped during one full rotation (system flow × revolution time), converted from gallons to cubic inches and divided by the wetted area in square inches, giving inches of water depth actually laid down. This is the number growers care about most — it tells you how much water the crop receives each time the pivot completes a lap.
Dividing that depth by the revolution time (scaled to a 24-hour day) gives the system's daily application capacity, which the calculator compares against your peak crop ET demand adjusted for application efficiency to flag whether the system can physically keep up during the hottest, highest-demand part of the season — a pivot that takes 96 hours per revolution may simply be too slow for a crop needing 0.3+ inches per day at peak. GPM per acre is reported as a quick capacity benchmark; most systems target 4-6 GPM per acre, and much lower numbers usually mean an undersized well or pump relative to the area being covered. One nuance worth flagging: this application-depth math assumes uniform water distribution across the wetted circle, when real pivots always show some falloff toward the outer towers and at the end-gun's edge — actual on-ground uniformity depends on nozzle package and pressure regulation that this calculator doesn't model directly.
Inputs
Results
Total area (acres)
125.7
Application depth (in)
1.01
How to Use This Calculator
- Enter pivot length in feet from center to last tower (1/4 mile = 1,320 ft).
- Set system flow rate in GPM and revolution time in hours.
- Enter end gun throw distance in feet (0 if no end gun).
- Input application efficiency (%) and peak crop ET in inches per day.
- Review Total area (acres), Application depth (in/revolution), and whether the system meets peak demand.
How the result changes with Pivot length (ft)
| Pivot length (ft) | Total area (acres) | Application depth (in) |
|---|---|---|
| 660 | 31.4 | 4.05 |
| 990 | 70.7 | 1.8 |
| 1,980 | 282.7 | 0.45 |
| 3,300 | 785.4 | 0.16 |
What each input means
- Pivot length (ft)
- Length from pivot point to last tower. Quarter mile = 1,320 ft.
- End gun throw (ft)
- Additional radius covered by end gun. 0 if no end gun.
- System flow (GPM)
- Total system flow rate in gallons per minute.
- Revolution time (hrs)
- Time for one full revolution. Typical: 12-96 hours.
- Application efficiency (%)
- Water application efficiency. LEPA=95%, sprinkler=80-85%.
- Peak crop ET (in/day)
- Peak daily crop evapotranspiration demand.
What each result means
- Base area (acres)
- Irrigated area without end gun.
- Total area (acres)
- Total irrigated area including end gun coverage.
- End gun area (acres)
- Additional area from end gun.
- Application depth (in)
- Inches of water applied per revolution.
- Daily capacity (in/day)
- Maximum daily application at continuous operation.
- GPM per acre
- System capacity index. Typical target: 4-6 GPM/acre.
- Outer tower speed (ft/min)
- Speed of the outermost tower.
- Meets peak demand (1=yes)
- Whether system capacity exceeds peak ET requirement.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersPivot length (ft) = 1320, End gun throw (ft) = 0, System flow (GPM) = 800, Revolution time (hrs) = 72 = 6 input(s) provided
- Calculate Total areaTotal area = totalAreaFt2 / sqFtPerAcre125.7 = 125.7
- Calculate Application depthApplication depth = (totalVolumeGal * 231) / (totalAreaFt2 * 144)1.013 = 1.013
- Calculate Base areaBase area = baseAreaFt2 / sqFtPerAcre125.7 = 125.7
- Calculate End gun areaEnd gun area = totalAreaAcres - baseAreaAcres0 = 0
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why doesn't the end gun's extra throw distance add a simple, proportional number of acres?
The end gun extends the pivot's radius, and area scales with the square of radius (A = πr²), not linearly with the added throw distance. The calculator computes the full circle's area at the extended radius and subtracts the base circle's area, so the end gun's contribution — a thin ring at the outer edge — is smaller in acres than the same throw distance would suggest if you just multiplied it by the radius.
How is application depth per revolution actually derived?
The calculator multiplies system flow by revolution time to get total gallons pumped during one full lap, converts that volume to cubic inches, and divides by the wetted area converted to square inches. The result is the average depth of water, in inches, that the whole irrigated circle receives during a single revolution — the number that tells you how much water the crop actually gets per pass.
What does the 'meets peak demand' output actually check?
It compares the system's daily application capacity (application depth per revolution scaled up to a 24-hour day) against your peak crop ET divided by application efficiency. If daily capacity is lower, the pivot physically cannot complete revolutions fast enough to replace what the crop is losing on the hottest days of the season, even though it may keep up fine during lower-demand periods.
Why is GPM per acre used as a sizing benchmark?
GPM per acre is system flow divided by total irrigated area, giving a normalized capacity figure that's comparable across pivots of different sizes. Typical center pivot systems target roughly 4-6 GPM per acre; a much lower figure usually signals a well, pump, or mainline that's undersized relative to the area the pivot is trying to cover, regardless of how the other numbers look in isolation.
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
Irrigation Pivot Sizing Calculator
Pivot length from field radius and water source.
Precision IrrigationVariable Rate Irrigation Calculator
Calculate VRI prescription rates by management zone based on soil AWC, crop ET demand, and pivot flow capacity.
IrrigationDrip Irrigation Design Calculator
Calculate emitter count, system flow rate, zone sizing, and daily run time for drip irrigation systems.
IrrigationSprinkler System Design Calculator
Calculate precipitation rate, head count, zone sizing, and run times for sprinkler irrigation systems.
IrrigationIrrigation Pump Selection Calculator
Calculate required pump horsepower from total dynamic head and flow rate using Hazen-Williams friction loss.
More in Agriculture & Farming.