FreeTools Labs Glossary
Body metrics and body fat
Explore different body-metrics models and learn why their inputs and methods can produce different estimates.
FreeTools Labs Glossary
Explore different body-metrics models and learn why their inputs and methods can produce different estimates.
Estimate body fat, FFM, FFMI, WHtR, resting energy and reference weight.
Open Body Metrics Calculator →The Body Metrics Calculator compares equation-based body-fat estimates, derives related mathematical measures and shows resting-energy and reference-weight equations. It uses the entered measurements and chosen equation; it is neither a direct body-composition measurement nor a medical assessment.
The calculator needs age, the sex category used by the equations, height and weight. Age must be an integer of at least 18; height and weight must be positive. Metric entries use cm and kg, while imperial entries use ft/in and lb. The service normalises imperial measurements with 1 in = 2.54 cm and 1 lb = 0.45359237 kg before most equations run.
Available estimates are RFM, Deurenberg, Hodgdon-Beckett and a manually entered body-fat value. Comparison values appear only when their required measurements were entered, and the tool does not average them. Fat mass, fat-free mass, FFMI and Katch-McArdle use only the valid selected estimate.
RFM, Deurenberg and Hodgdon-Beckett are equation estimates, not direct measurements. A manual value is merely reused as supplied; its quality depends on the external measurement.
RFM – Relative Fat Mass
RFM = 64 − 20 × height / waist + (12 for FEMALE, otherwise 0)RFM uses height and waist in the same length unit and the formula sex category; the project documents it as an adult estimate for the studied US population. A positive waist is required.
Deurenberg
BF% = 1.2 × BMI + 0.23 × age − (10.8 for MALE, otherwise 0) − 5.4Deurenberg uses BMI, age and formula sex. BMI is calculated from kg and metres only as an intermediate value: this tool provides neither BMI classification nor Real-BMI categories.
Hodgdon-Beckett, MALE
BF% = 86.01 × log10(abdomen − neck) − 70.041 × log10(height) + 36.76Hodgdon-Beckett, FEMALE
BF% = 163.205 × log10(waist + hip − neck) − 97.684 × log10(height) − 78.387For Hodgdon-Beckett the service converts all measurements to inches before logarithms. MALE needs positive waist/abdomen and neck values; FEMALE also needs a positive hip value and all logarithm arguments must be positive. These historical anthropometric equations are not presented as a current military fitness test.
Manual body-fat value
BF% = entered value, with 0 < BF% < 100Fat mass
fat mass kg = body weight kg × BF% / 100Fat-free mass (FFM)
FFM kg = body weight kg − fat mass kgFFMI
FFMI = FFM kg / (height in m)²WHtR
WHtR = waist / heightAn estimate at or outside 0–100% is marked outside the estimation range and produces no fat mass, FFM, FFMI or Katch-McArdle result. A positive waist separately enables WHtR. FFM is not muscle mass: it also includes water, bone and organs. The tool assigns no risk light, universal category or diagnosis to WHtR or FFMI.
For age 30, MALE, 180 cm, 80 kg and a 90 cm waist with RFM selected, the service calculates RFM = 64 − 20 × 180 / 90 = 24%. That is the selected estimate, not a measurement.
It then returns 19.2 kg fat mass, 60.8 kg FFM, FFMI = 60.8 / 1.8² = 18.765432… kg/m² and WHtR = 90 / 180 = 0.5. Display formatting uses at most two decimals for body fat, fat mass and FFM and three for FFMI and WHtR; there is no intermediate rounding.
Mifflin-St Jeor
MALE: 10W + 6.25H − 5A + 5; FEMALE: 10W + 6.25H − 5A − 161Revised Harris-Benedict
MALE: 88.362 + 13.397W + 4.799H − 5.677A; FEMALE: 447.593 + 9.247W + 3.098H − 4.330AKatch-McArdle
370 + 21.6 × FFM kgW is kg, H is cm and A is years. Mifflin-St Jeor and Revised Harris-Benedict use the basic inputs; Katch-McArdle appears only with valid FFM and identifies whether that FFM is estimated or manual. All are estimated kcal/day, not total energy needs, PAL or calorie targets.
Devine and Robinson
their respective base + step per inch above 60 inLemmens
22 × (height in m)²Devine uses 50 kg (MALE) or 45.5 kg (FEMALE) plus 2.3 kg per inch above 60 in; Robinson uses 52/49 kg plus 1.9/1.7 kg. Both return no value below 152.4 cm. Lemmens is sex-neutral. These are equation-based references, not personal target weights or health advice.
For age 30, FEMALE, 165 cm, 65 kg, waist 75 cm, neck 32 cm and hip 98 cm with Hodgdon-Beckett selected, the service first converts lengths to 64.960629…, 29.527559…, 12.598425… and 38.582677… inches. The female equation returns BF% = 29.23849372767515…%.
It derives 19.005020922988848… kg fat mass and 45.99497907701115… kg FFM; the page displays 29.24%, 19.01 kg and 45.99 kg. The other estimates are neither averaged nor used as corrections.
No model is shown as a gold standard. Missing measurements create no substitutes; invalid logarithm domains block Hodgdon-Beckett, and Devine/Robinson are not extrapolated below their documented height range. The page formats only at the end: at most two decimals for body fat, fat mass, FFM, BMI and reference weights; three for FFMI and WHtR; whole kcal/day for resting energy.
The calculator performs no direct body-fat measurement, indirect calorimetry or medical assessment. It contains no diagnosis, treatment, nutrition or weight-loss recommendation. An equation estimate cannot replace measured body composition or individually measured resting energy.
Relative Fat Mass as a new estimator of whole-body fat percentage — Woolcott O, Bergman R · Scientific Reports (2018), PMID 30030479
Project source for RFM; no project URL is stored.
Project source for the adult Deurenberg equation.
NHRC 84-11 und 84-29; Development of the DoD Body Composition Estimation Equations — Hodgdon JA, Beckett MB (1984); Hodgdon/Friedl (1999), ADA370158
Project source for circumference equations and their historical measurement context; no project URL is stored.
A new predictive equation for resting energy expenditure in healthy individuals — Mifflin MD et al. · AJCN (1990), PMID 2305711
Project source for Mifflin-St Jeor; no project URL is stored.
The Harris Benedict equation reevaluated — Roza AM, Shizgal HM · AJCN (1984), PMID 6741850
Project source for Revised Harris-Benedict; no project URL is stored.
Exercise Physiology: Nutrition, Energy, and Human Performance — McArdle WD, Katch FI, Katch VL
Project source for the FFM equation labelled Katch-McArdle; no project URL is stored.
Gentamicin therapy — Devine BJ · Drug Intelligence & Clinical Pharmacy (1974)
Project source for the historical Devine reference equation; no project URL is stored.
Determination of ideal body weight for drug dosage calculations — Robinson JD et al. · AJHP (1983), PMID 6869387
Project source for the historical Robinson reference equation; no project URL is stored.
Estimating ideal body weight—a new formula — Lemmens HJM et al. · Obesity Surgery (2005), PMID 16105412
Project source for the Lemmens reference equation; no project URL is stored.