3.2.4: Part B4- The U.S. Navy body fat estimation formula
- Page ID
- 100866
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Part B4: The U.S. Navy body fat estimation formula- is an easy to use, moderately accurate measure of (% body fat) body composition. It uses 2 circumference measures for men and three for women. Because using a log of 10 is difficult for many and some calculators don’t have it- calculator sites are given.
https://www.omnicalculator.com/health/navy-body-fat
https://www.calculator.net/body-fat-calculator.html
Circumferences to determine body composition (U.S. Navy formula).
1) Neck base- lowest point above trapezius- just below the laryngeal prominence (Adam’s apple).
2) Waist- narrowest part above iliac crest. For most males it is at the umbilical, for female is varies
3) Hip- with feet together at the widest portion of the gluteals. It is usually at the lateral femoral condyle (the boney point on hip). Only women need this in the US Navy formula.
· Men: BF (%) = 86.010 x log10 (abdomen – neck) – 70.041 x log10 (height) + 36.76 (inches)
· Women: BF (%) = 163.205 x log10 (waist + hip – neck) – 97.684 x log10 (height) – 78.387
So here are the steps to calculate %BF- turn your iPhone sideways with the calculator app
A. Figure the number out- for example abdomen- neck. If I had 31 inches at waist (the umbilical- exhaled), and 17 inches for my neck (base of neck above trapezius), then I would have 14.
B. Have 14 entered, then hit log10 button- you should get 1.146 if you used 14
C. Multiple by 86.010- you should get 98.578 if you used my numbers
D. Do the same for height * log 10- if I used 70 it would be 1.845,
E. then multiply that by 70.041= 129.226
F. Subtract 98.578 from 129.226 = - 30.648
G. Add 36.76 to -30.648 = 6.112 or 6.1% body fat
Do the same for the female formula but you would take waist and hips added and subtract the neck to get the first number. Female body fats are generally 7-10% higher than the respective male value. The chart from the American Council on Exercise (ACE) is intended for young (<30 yo) people.
Figure 4x: The chart above show the different ages from top to bottom and the number in the cell is the individual's % body fat. The color category is listed below that color. The different genders each have their own table here.