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Body-Fat Category {{ bodyFatCategory }}
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Lean Mass {{ leanMassReadable }}
Fat Mass {{ fatMassReadable }}
Body-Fat Ranges ({{ sexLabel }})
CategoryRange %
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BMI Categories
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Introduction:

Body composition compares the proportion of fat mass to lean tissue in your body. Knowing this ratio, along with the body-mass index, helps you gauge health risks more accurately than weight alone. Fat percentage reflects stored energy and hormonal function, while lean mass represents muscle, bone, water and organs within total body weight.

Using the standard U.S. Navy circumference equations, this calculator estimates body-fat percentage from neck, waist, and—when relevant—hip measurements, adjusts for either metric or imperial units, and derives BMI plus absolute lean and fat mass. Results update instantly, display coloured gauges, composition charts, numeric tables, and highlight healthy ranges for your sex.

Track progress during weight-loss or strength programmes by recording circumference data weekly; interpret subtle shifts in lean mass rather than chasing scale numbers alone. Measurements must be taken snugly but not compressing the skin, preferably at the same time of day for consistency. This calculator offers informational estimates, not medical advice.

Technical Details:

Foundational Principles

The tool employs the U.S. Navy circumference method, which models logarithmic relationships between girth differences and adipose tissue, and the conventional BMI equation. A lightweight reactive engine performs every calculation locally, while a client-side charting layer visualises the results.

Variables & Parameters

SymbolVariableUnits
HStanding heightcm / in
WBody weightkg / lb
NNeck circumferencecm / in
WaWaist circumferencecm / in
HipHip circumference (female)cm / in

Scoring & Categorisation

Body-Fat Ranges – Male
CategoryRange %
Essential2 – 5
Athlete6 – 13
Fitness14 – 17
Average18 – 24
Obese25 +
BMI Categories
CategoryRange
Underweight< 18.5
Normal18.5 – 24.9
Overweight25 – 29.9
Obese≥ 30

Representative Calculations

Male body-fat equation

BF%= 86.010×log10 (WaN) 70.041×log10(H) +36.76

Example: H = 170 cm, Wa = 80 cm, N = 38 cm ⇒ BF ≈ 17.4 %

BMI and Lean-Mass

BMI=WH2 , LM=W×(1BF%100)

Using W = 70 kg and BF = 17.4 % ⇒ BMI ≈ 24.2, Lean-Mass ≈ 57.8 kg.

Edge Cases & Assumptions

  • Equations assume adults aged 18–60; extreme physiques may deviate.
  • Negative log arguments are prevented by validating circumference inputs.
  • Percentages are clamped to 0–100 % and rounded to one decimal place.
  • Unit switches automatically trigger recalculation without loss of precision.
  • Tiny screens collapse charts after 45 % body-fat to conserve space.

Performance & Stability

All maths run in microseconds inside the browser; no server calls occur. The debounce window limits recalculation to 25 fps, ensuring smooth typing even on low-power devices.

Step-by-Step Guide:

The workflow mirrors a tape-measure session at home. Follow the ordered steps once, then repeat the measurement routine periodically to monitor trends.

  1. Select Sex to load the correct equation.
  2. Choose metric or imperial Units for height, weight and circumferences.
  3. Enter height and body weight accurately to the nearest 0.1 unit.
  4. Wrap a flexible tape around your Neck, record the value at the Adam’s apple.
  5. Measure the narrowest point of the Waist; women also measure the widest part of the Hip.
  6. Review the instant gauge, composition chart and range tables; switch tabs as needed for deeper insight.

FAQ:

Why use circumference equations?

The U.S. Navy method balances simplicity and reliability, requiring only a tape measure while still reflecting regional fat distribution that weight-only metrics miss.

Where should I measure?

Stand relaxed. Measure neck just below the larynx, waist at the narrowest torso point, and hip (for females) at the fullest buttock area. Keep the tape level and parallel to the floor.

How accurate is it?

Typical error is ±3 – 4 % compared with DXA scans. Consistency of tape placement and posture impacts repeatability more than the formula itself.

Is my data stored?

No. All calculations take place locally in your browser; values disappear when you refresh or close the page.

Can children use it?

The equations were validated on adults. Consult a paediatric health professional before interpreting results for anyone under 18 years of age.

No data is transmitted or stored server-side.

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