Female formula demo
The tool's own example values, using the hip measurement the female equation requires.
Input
Female formula · Height 165 cm · Neck 32 cm · Waist 74 cm · Hip 98 cmOutput
≈ 28.7% body fat — Average range on the female bandsEstimate body fat with the U.S. Navy circumference method from height, neck, waist, and hip tape measurements — no scales or calipers.
Content last reviewed
Height
Measure height without shoes, standing tall with relaxed posture.
Neck
Measure just below the larynx area with the tape level and snug, not tight.
Waist
Use the navel level for this calculator and keep the tape horizontal.
Hip
For female calculation, measure around the widest point of the hips.
Use a flexible tape, keep it snug but not tight, and use the same unit system for every measurement.
Metric values are converted to inches, then the standard U.S. Navy circumference formula is applied with Math.log10.
Body fat percentage and BMI answer different questions. You can also review the BMI Calculator, but neither method is a full health assessment.
Select the male or female Navy formula and metric or imperial measurements.
Height, neck, and waist — plus hips at their widest point for the female formula.
Click Calculate to see the estimate, its general interpretation band, and a range gauge.
The tool's own example values, using the hip measurement the female equation requires.
Input
Female formula · Height 165 cm · Neck 32 cm · Waist 74 cm · Hip 98 cmOutput
≈ 28.7% body fat — Average range on the female bandsThe male equation uses height, neck, and waist only.
Input
Male formula · Height 178 cm · Neck 39 cm · Waist 86 cmOutput
≈ 16.5% body fat — Fitness range on the male bandsBody fat percentage answers a question BMI cannot: how much of your weight is actually fat. Lab methods like DEXA answer it precisely but cost money and appointments; this calculator uses the U.S. Navy circumference method, which gets a useful estimate from nothing but a flexible tape measure — height, neck, and waist, plus hips for the female formula.
The method is a pair of published equations built on circumference ratios: measurements are converted to inches internally and run through logarithmic formulas the Navy developed for fitness assessment. The result is shown to one decimal place with a broad interpretation band — essential, athletic, fitness, average, or higher range, with different thresholds for the male and female formulas — plus a colour gauge showing where the estimate sits. An age field is included for context only; the Navy formula does not use it, and the tool says so rather than pretending otherwise.
Accuracy lives and dies with the tape work, which is why a measurement guide is built in: neck just below the larynx, waist at navel level, hips at the widest point, tape snug but never tight. Input validation catches implausible combinations (the male formula, for instance, requires waist greater than neck), and results outside the plausible display range trigger a re-measure warning. It remains an estimate for general information — as the prominent disclaimer states, not a diagnosis, and not comparable one-to-one with DEXA, calipers, or smart-scale readings, each of which measures differently. Your measurements stay in your browser throughout.
Choose the male or female formula (the female equation adds a hip measurement) and your unit system.
Enter your height, then the tape measurements following the built-in guide:
Optionally add your age — context only; the Navy formula does not use it.
Click Calculate body fat estimate (or Fill example to see a demo first).
Read the percentage, its interpretation band, and the gauge. If the result looks unusual, re-measure — tape placement and tension move the estimate.
Use Copy for a text summary of the inputs and result, or Reset to start over.
The standard published equations for both male and female formulas, computed from tape measurements alone.
Enter centimetres or inches; values are converted to inches internally as the formula requires.
The estimate maps to broad educational ranges (essential to higher) with sex-specific thresholds and a colour gauge.
Realistic measurement ranges are enforced, formula preconditions are checked, and implausible results trigger a re-measure warning.
Card-by-card instructions for height, neck, waist, and hip tape placement.
A one-click demo fills sample values; results copy as plain text.
Get a body-fat estimate at home without scales, calipers, or lab equipment.
Repeat the same measurements monthly and watch the trend rather than any single reading.
Add a composition-based signal beside the BMI Calculator's mass-based one — useful especially for muscular builds.
Use the band as one general wellness metric alongside strength, energy, and habits.
Measurements are converted to inches, then run through the published Navy equations: for the male formula, 86.010 × log10(waist − neck) − 70.041 × log10(height) + 36.76; for the female formula, 163.205 × log10(waist + hip − neck) − 97.684 × log10(height) − 78.387. The result is rounded to one decimal place.
The logic behind the ratios: waist (and hip) circumference grows with fat storage while neck circumference tracks lean frame size, so their relationship — scaled against height — correlates with body-fat percentage across the populations the Navy studied. The interpretation bands then classify the estimate on sex-specific thresholds (for the male formula: under 6% essential, 6–14 athletic, 14–18 fitness, 18–25 average, above 25 higher; the female bands sit higher because essential fat is higher). Validation runs before calculation — including the mathematical preconditions like waist exceeding neck — and results outside 2–65% raise a re-measure warning rather than being presented as fact.
Male (height, neck, waist) or female (adds hip circumference).
Metric or imperial entry; conversion to the formula's inches happens internally.
Optional context only — the Navy circumference formula does not use it.
Results appear on click; a demo fills sample values; reset restores defaults.
The male formula takes the logarithm of (waist − neck), which requires waist to exceed neck. If your real measurements trigger this, re-check tape placement — waist at navel level, neck below the larynx.
Inputs are validated to plausible ranges (height 90–250 cm, neck 20–70, waist 40–250, hip 50–250). A rejection usually means a unit mix-up — inches entered in metric mode or vice versa.
The computed value fell below 2% or above 65%, which almost always indicates a measurement or unit error rather than reality. Re-measure with the tape level and snug.
The Navy method is a population-fitted estimate, not a measurement of your actual fat mass: accuracy depends heavily on tape technique, and results legitimately differ from DEXA, hydrostatic weighing, calipers, and smart scales — methods disagree with each other by several percentage points. The interpretation bands are broad educational labels, not clinical categories, and age is displayed as context only since the formula ignores it. As the built-in disclaimer states, this is general information, not medical advice or diagnosis — anyone with health concerns, and especially teenagers or pregnant people, should rely on professional assessment instead.
Your body measurements are processed entirely in your browser — nothing is uploaded, stored, or logged by this tool, and the page says so beneath the calculator. The Copy button writes the summary only to your own clipboard.
Measure at the same time of day with the same tape technique for comparable readings.
Keep the tape snug, level, and never tight — tension is the biggest source of error.
Use waist at navel level consistently, since that is what this calculator's guide assumes.
Repeat any measurement that produces a surprising result before believing it.
Track the trend across weeks and compare only within this method, not against DEXA or smart-scale numbers.
Standardize the ritual: same time of day, same state (before breakfast and exercise), same tape, same spots — the built-in guide defines them precisely so repeat measurements are comparable. Taking each measurement twice and averaging removes most one-off slips.
Read the output at the right resolution. The method's honest precision is the band, not the decimal: "fitness range, trending down over two months" is a supportable conclusion; "17.3% versus 17.9%" is noise. If two readings straddle a band boundary, treat that as one data point, not a category change.
And keep it as one instrument among several. Strength numbers, energy, waist alone, photos, and how clothes fit each carry independent signal — body composition decisions made on a single estimator, whichever it is, over-trust that estimator.
Client-side computation: metric inputs convert at 2.54 cm/in, then the standard Navy equations run via Math.log10 (male: 86.010·log10(waist−neck) − 70.041·log10(height) + 36.76; female: 163.205·log10(waist+hip−neck) − 97.684·log10(height) − 78.387). Results round to one decimal. Validation enforces measurement ranges and the formulas' mathematical preconditions before computing; values outside 2–65% attach a plausibility warning. Calculation is button-triggered rather than live, and the age field is excluded from the math by design.
| Method | Equipment | Character |
|---|---|---|
| Navy circumference | Tape measure | Free, repeatable at home; technique-sensitive |
| Skinfold calipers | Calipers + skill | Good in trained hands; skill-sensitive |
| Bioimpedance (smart scales) | Scale | Convenient; swings with hydration |
| DEXA scan | Clinic | Reference-grade; cost and access |
Numbers from different methods are not interchangeable — pick one and compare its readings only with each other.
People who want a body-composition signal without lab access or equipment beyond a tape measure; lifters who find BMI misleading for their build; and anyone tracking a recomposition over months who needs a repeatable, free check-in. It suits trend-watchers more than precision-seekers — for a clinical-grade number, DEXA and professional assessment are the route.
Evidence and boundaries
The page identifies the reference population and units used. Clinical interpretation, screening thresholds, and professional guidance can differ by country and population.
Evidence standard reviewed .
A circumference-based estimation method developed for Navy fitness assessment: published equations that estimate body-fat percentage from height, neck, and waist measurements (plus hip for the female formula), using logarithmic ratios fitted to population data.
Useful but approximate — for many people it lands within a few percentage points of lab methods, with accuracy hinging on tape technique and individual fat distribution. It is best read as a band and a trend rather than an exact figure, which is how the tool presents it.
The female equation was fitted with hip circumference included, reflecting typical differences in fat distribution. Measure at the widest point of the hips with the tape level.
It is optional context for your own record — the Navy circumference equations genuinely do not use age, and the tool labels the field accordingly rather than silently pretending it matters.
Different measurement principles: scales estimate via bioelectrical impedance, which swings with hydration, while this tool uses circumference ratios. Methods routinely disagree by several points — compare readings within one method only.
No — BMI relates weight to height and cannot see composition, while body-fat percentage estimates how much of your weight is fat. They answer different questions, and both are limited screening tools; the BMI Calculator covers the other one.
No. As the disclaimer states, it is an informational estimate only — not medical advice, diagnosis, or a substitute for professional evaluation. Consult a qualified professional for personal health decisions.