Enter your sex, age, weight and height, plus your neck and waist (and hips for women) measured with a tape measure. Your estimated body fat percentage, fat mass, lean body mass and category are calculated together.
Enter all lengths in centimeters and weight in kilograms. The results are estimates from a formula, not a medical diagnosis. If you have a medical condition or are pregnant, do not judge by the numbers alone; talk to your doctor or a registered dietitian.
Result and graph
Enter your sex, age, weight and height, plus your neck and waist (and hips for women) measured with a tape measure, in the fields on the left and press "Calculate". The result will appear here.
Table of Contents
-
What you can do on this page
-
What is this calculation used for?
-
How to Use
-
Formulas and figures
-
Symbols and terms
-
Good to know before you start
-
How to calculate it in Excel
-
How to calculate it in Google Sheets
-
How to calculate it in Python
-
How to write it in LaTeX and other math languages (copy and paste)
-
How to have ChatGPT do the calculation
-
DataChef Features
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Related Features
-
NumberChef Calculators List
What you can do on this page
- No body fat scale needed - all you need is a tape measure. Measure only your neck, your waist (and hips for women) and your height, and your body fat percentage is estimated with a statistical formula
- Combined with your weight, it also calculates your fat mass and lean body mass (in pounds, or kilograms in Metric)
- It shows where your estimate falls in the American Council on Exercise (ACE) categories, such as "Athletes" or "Average", on a number line
- The ideal body fat percentage for your age (Jackson & Pollock, ages 20 to 55) and a reference value estimated from your BMI are shown as well
The formula in this calculator is a statistical estimate and has some error (the original research reported an error of about 3 to 4 percentage points, so a difference of a few percent is common). Home body fat scales (bioelectrical impedance, which sends a weak electric current through the body) measure in a completely different way, so it is normal for the numbers to differ. The results are not a medical diagnosis.
What is this calculation used for?
Tracking weight loss by what is inside, not just by the scale
If you lose 5 pounds, the scale alone cannot tell you whether you lost fat or muscle and water. Recording your body fat percentage and lean body mass together shows the quality of the weight loss: are you losing fat while keeping muscle?
Because the formula has some error, the practical way to use it is to watch the direction of change when you measure the same way over time, rather than a single reading.
Setting goals and planning weight loss for strength training and body shaping
Once you set a goal such as "from 20% body fat to 15%", the fat mass formula gives you a rough idea of how many pounds of fat to lose. For example, a person who weighs 180 lb at 20% body fat and wants to reach 15% while keeping the same lean mass would need to lose about 10.6 lb of fat.
That makes it easier to build a plan with a real basis than simply chasing a lower number on the scale.
Noticing health risks early from your waist size (health care)
Fat stored around the belly (visceral fat) is linked to a higher risk of conditions such as type 2 diabetes and heart disease. US health guidelines treat a waist of more than 40 inches for men or more than 35 inches for women as a sign of higher risk, which shows that simply measuring your waist is a first step in looking after your health.
The formula on this page focuses on exactly the difference between waist and neck, so measuring regularly and watching the change can help you notice risks early (always get a diagnosis from a medical professional).
Body fat standards in physically demanding jobs such as the military, police and fire service
The U.S. Navy developed this formula to judge the body fat of its personnel fairly without special equipment (which is why it is called the "Navy method"). Tape-measure methods of the same kind are still used today to check body composition standards in the US military.
Measuring large numbers of people by the same standard, cheaply and anywhere: that is why tape-measure methods like this one keep being chosen in practice.
Managing condition in weight-class sports
In sports with weight classes, such as boxing and wrestling, athletes need to cut down to make weight while keeping as much lean body mass (muscle) as possible. Knowing fat mass and lean body mass separately helps estimate how much room is left to cut.
Cutting below essential fat (2–5% for men, 10–13% for women) harms health, so it is done under the guidance of professionals.
Formulas and figures
Body fat formula (men)
Figure
Standard notation
(the usual math form)
\(P\)
\(=\)
\(86.010\)
\(\times\)
\(\log_{10}\)
\((W - N)\)
\(-\)
\(70.041\)
\(\times \log_{10}\)
\(h\)
\(+\)
\(36.76\)
In words
(symbols replaced with words)
⑤
\(P\): body fat (%)
\(=\)
②
coefficient 86.010
\(\times\)
\(\log_{10}\)
①
waist minus neck (in)
\(-\)
coefficient 70.041
\(\times \log_{10}\)
③
\(h\): height (in)
\(+\)
④
constant 36.76
The formula in words
①
Take the common logarithm (\(\log_{10}\)) of the
waist \(W\) minus neck \(N\) (in)
②
and multiply it by
coefficient 86.010
③
Take the common logarithm of the
\(h\): height (in)
multiply it by 70.041 and subtract it
④
then add the
constant 36.76
⑤
and you get the
\(P\): body fat (%)
Quick example
For a man who is 5 ft 10 in (70 in) tall, with a 15 in neck and a 35.5 in waist
\(P\): body fat
\(=\)
86.010
\(\times\)
\(\log_{10}\)
\((35.5 - 15)\)
\(-\)
70.041
\(\times \log_{10}\)
\(70\)
\(+\)
36.76
\(\log_{10}(35.5 - 15) = \log_{10} 20.5 \approx 1.3118\)
\(\log_{10} 70 \approx 1.8451\)
\(86.010 \times 1.3118 - 70.041 \times 1.8451 + 36.76 \approx 112.82 - 129.23 + 36.76\)
\(\approx 20.4\ (\%)\)
Key idea
\(\log_{10}\) (the common logarithm) tells you "10 to what power gives this number". A scientific calculator or Excel's LOG10 function works it out (it is taught in Algebra 2, but the calculator does it for you even if you do not remember the details).
The formula expresses a statistical relationship with a smooth logarithmic curve: the bigger the difference between waist and neck (the thicker the midsection), the higher the body fat, and for the same difference, the taller the person, the lower the body fat. Note that weight is not used.
Its biggest advantage is that it needs no special equipment - only lengths you can measure with a tape. To give credit to its source, it was originally developed by the U.S. Navy to track the body fat of its personnel (it is often called the "Navy method"), and because it is so simple, it is now widely used in general health and fitness. The metric version of the same formula is \(495 \div (1.0324 - 0.19077 \log_{10}(W - N) + 0.15456 \log_{10} h) - 450\) with centimeters; the two versions can differ by a few tenths of a percent because of rounding in the coefficients.
How to measure: measure the neck at its narrowest point just below the Adam's apple, and the waist at the level of the navel. Keep the tape level, snug against the skin without squeezing, and measure after breathing out normally.
Body fat formula (women)
Figure
Standard notation
(the usual math form)
\(P\)
\(=\)
\(163.205\)
\(\times\)
\(\log_{10}\)
\((W + H - N)\)
\(-\)
\(97.684\)
\(\times \log_{10}\)
\(h\)
\(-\)
\(78.387\)
In words
(symbols replaced with words)
⑤
\(P\): body fat (%)
\(=\)
②
coefficient 163.205
\(\times\)
\(\log_{10}\)
①
waist plus hips minus neck (in)
\(-\)
coefficient 97.684
\(\times \log_{10}\)
③
\(h\): height (in)
\(-\)
④
constant 78.387
The formula in words
①
Take the common logarithm (\(\log_{10}\)) of the
waist \(W\) plus hips \(H\) minus neck \(N\) (in)
②
and multiply it by
coefficient 163.205
③
Take the common logarithm of the
\(h\): height (in)
multiply it by 97.684 and subtract it
④
then subtract the
constant 78.387
⑤
and you get the
\(P\): body fat (%)
Quick example
For a woman who is 5 ft 4 in (64 in) tall, with a 13 in neck, a 31.5 in waist and 39.5 in hips
\(P\): body fat
\(=\)
163.205
\(\times\)
\(\log_{10}\)
\((31.5 + 39.5 - 13)\)
\(-\)
97.684
\(\times \log_{10}\)
\(64\)
\(-\)
78.387
\(\log_{10}(31.5 + 39.5 - 13) = \log_{10} 58 \approx 1.7634\)
\(\log_{10} 64 \approx 1.8062\)
\(163.205 \times 1.7634 - 97.684 \times 1.8062 - 78.387 \approx 287.80 - 176.43 - 78.387\)
\(\approx 33.0\ (\%)\)
Key idea
Women tend to store more fat under the skin around the hips and thighs than men, so the formula for women measures the hips as well as the waist and subtracts the neck. The coefficients and constant are also different from the formula for men.
How to measure: for women, measure the waist at its narrowest point (not at the navel as for men) and the hips at the widest part of the buttocks, keeping the tape level with the floor. Checking in a mirror that the tape is level reduces the error.
Fat mass and lean body mass
Figure
Standard notation
(the usual math form)
\(F\)
\(=\)
\(m\)
\(\times\)
\(\dfrac{P}{100}\)
\(L\)
\(=\)
\(m\)
\(-\)
\(F\)
In words
(symbols replaced with words)
③
\(F\): fat mass (lb)
\(=\)
①
\(m\): weight (lb)
\(\times\)
②
body fat \(P\) ÷ 100
⑤
\(L\): lean body mass (lb)
\(=\)
\(m\): weight (lb)
\(-\)
④
\(F\): fat mass
The formula in words
①
Take the
\(m\): weight
②
multiply it by the
body fat \(P\) divided by 100
③
and you get the
\(F\): fat mass
④
Subtract the
\(F\): fat mass
from the weight \(m\)
⑤
and you get the
\(L\): lean body mass
Quick example
For a weight of 176 lb and a body fat of 20.4%
\(F\): fat mass
\(=\)
weight (176 lb)
\(\times\)
body fat (20.4%) ÷ 100
\(176 \times \dfrac{20.4}{100} \approx 35.9\ (\mathrm{lb})\)
\(176 - 35.9 = 140.1\ (\mathrm{lb})\)
Key idea
Lean body mass is the total weight of everything that is not fat: muscle, bone, water, organs and so on. While losing weight, checking whether your lean body mass holds steady (in other words, whether you are keeping your muscle) tells you more about the quality of the weight loss than the scale alone.
Body fat from BMI (for reference)
Graph
Standard notation
(the usual math form)
\(\mathrm{BMI}\)
\(=\)
\(m\)
\(\div\)
\(h^2\)
\(\times\)
\(703\)
\(P\)
\(=\)
\(1.20\)
\(\times\)
\(\mathrm{BMI}\)
\(+\)
\(0.23\)
\(\times\)
\(A\)
\(-\)
\(16.2\)
\(P\)
\(=\)
\(1.20\)
\(\times\)
\(\mathrm{BMI}\)
\(+\)
\(0.23\)
\(\times\)
\(A\)
\(-\)
\(5.4\)
In words
(symbols replaced with words)
②
BMI
\(=\)
①
\(m\): weight (lb)
\(\div\)
height \(h\) (in) squared
\(\times\)
factor 703
⑤
\(P\): body fat by BMI (%), men
\(=\)
coefficient 1.20
\(\times\)
BMI
\(+\)
coefficient 0.23
\(\times\)
③
\(A\): age (years)
\(-\)
④
constant for men 16.2
\(P\): body fat by BMI (%), women
\(=\)
coefficient 1.20
\(\times\)
BMI
\(+\)
coefficient 0.23
\(\times\)
\(A\): age (years)
\(-\)
constant for women 5.4
The formula in words
①
Divide the
\(m\): weight (lb)
by the height (in) squared and multiply by 703
②
to get the
BMI
then multiply it by 1.20
③
Add 0.23 times the
\(A\): age
④
subtract the
constant 16.2 for men (5.4 for women)
⑤
and you get the
\(P\): body fat by the BMI method (%)
Quick example
For a 35-year-old man who weighs 176 lb and is 5 ft 10 in (70 in) tall
\(P\): body fat by BMI
\(=\)
1.20
\(\times\)
BMI (\(176 \div 70^2 \times 703 \approx 25.25\))
\(+\)
0.23
\(\times\)
age (35)
\(-\)
16.2
\(\mathrm{BMI} = 176 \div 70^2 \times 703 \approx 25.25\)
\(1.20 \times 25.25 + 0.23 \times 35 - 16.2 \approx 22.2\ (\%)\)
Key idea
The BMI method is an even simpler formula that estimates body fat from weight and height (and age) alone (from research by Deurenberg and colleagues). It saves you the tape measure, but its error is larger, and it is known to overestimate body fat in muscular people. If it differs a lot from the tape-measure estimate, remember that both are only estimates. In the graph, age is fixed at 35; the solid line (M) is for men and the dashed line (F) is for women.
The formula in this calculator is a statistical formula that estimates body fat from the common logarithms of your neck, waist (and hips for women) and height; it does not use weight. Its strength is that you can measure anytime, anywhere, with just a tape measure instead of a body fat scale. Every estimation method has some error, so rather than the number itself, watch how it changes when you keep measuring the same way under the same conditions.
Symbols and terms
Symbols
| \(P\) | pee | Body fat percentage - the share of your weight that is fat. On this page it stands for the estimate from either the tape-measure formula or the BMI method. |
| \(W\) | double-u | Waist circumference (in). Men measure level at the navel, women at the narrowest point of the waist. |
| \(N\) | en | Neck circumference (in), measured at the narrowest point just below the Adam's apple. |
| \(H\) | capital aitch | Hip circumference (in), measured at the widest part of the buttocks. It is used only in the formula for women (the same place as the hip size for clothing). |
| \(h\) | small aitch | Height, in inches in both the body fat formulas and the BMI formula on this page (5 ft 10 in = 70 in). |
| \(m\) | em | Weight (lb). It is the same symbol m that physics uses for mass. |
| \(F\) | ef | Fat mass (lb) - the part of your weight that is fat (the first letter of "fat"). |
| \(L\) | el | Lean body mass (lb) - your weight minus your fat mass (the first letter of "lean"). |
| \(\mathrm{BMI}\) | B-M-I | Body mass index. In US units it is weight (lb) ÷ height (in) squared × 703. (Example - for 176 lb and 70 in, \(176 \div 70^2 \times 703 \approx 25.3\)) |
| \(A\) | ay | Age (years). It is used only in the BMI method and for the ideal body fat for your age, not in the main formula. |
| \(\log_{10}\) | log base 10 | The logarithm with base 10. It tells you "10 to what power gives this number". (Example - \(\log_{10} 100 = 2\), \(\log_{10} 20.5 \approx 1.312\)) |
Terms
| body fat percentage | The share of your body weight that is fat (%). Appearance and health risks are said to relate more closely to body fat percentage than to weight itself; two people with the same weight can be very different depending on how much is muscle and how much is fat. |
| Navy method | The common name for the main formula in this calculator. It was developed by the U.S. Navy (Hodgdon and Beckett, 1984) to manage the body fat of its personnel. Because it needs only a tape measure and your height, it is now widely used in general health and fitness as well. |
| lean body mass | Your weight minus your fat mass - the combined weight of muscle, bone, water, organs and so on. It is also called LBM. |
| common logarithm | The logarithm with base 10, \(\log_{10}\). It is taught in high school (Algebra 2). For this page, a scientific calculator or Excel's LOG10 function works it out even if you do not remember the details. |
| essential fat | The minimum fat the body needs to stay alive and healthy, for example for hormones and to protect the organs. ACE puts it at 2–5% for men and 10–13% for women, and going below it is dangerous to health. Women need more because the body needs extra fat to support pregnancy, breastfeeding and female hormones. |
| ACE (American Council on Exercise) | A US nonprofit organization that certifies fitness professionals. The categories on this page (from essential fat to obese) are based on the groups ACE publishes. |
| bioelectrical impedance | The method used by home body fat scales. They send a weak electric current through the body and estimate body fat from how easily it passes. The reading is easily affected by things such as how much water is in the body, and it measures in a completely different way from the tape-measure formula on this page, so it is normal for the numbers to differ. |
| visceral fat | Fat stored deep inside the belly, around the organs. Too much of it is linked to a higher risk of conditions such as type 2 diabetes and heart disease, which is why doctors often measure waist size at checkups. |
Good to know before you start
Here is what helps you use the calculation on this page with real understanding, not just by pressing the button.
Only the common logarithm is high school math, and a calculator or Excel works it out for you, so you do not need to worry about it just to use the page.
| Percentages (Grade 6) |
|
| Multiplying and dividing with decimals (Grades 5–6) |
|
| Exponents (Grade 6) |
|
| Common logarithms (Algebra 2) |
|
How to calculate it in Excel
Copy the whole table below and paste it into cell A1 in Excel. It works as is.
Table for the body fat formula (men)
| Height (in) | 70 |
| Neck (in) | 15 |
| Waist (in) | 35.5 |
| Body fat (%) | =86.010*LOG10(B3-B2)-70.041*LOG10(B1)+36.76 |
Table for the body fat formula (women)
| Height (in) | 64 |
| Neck (in) | 13 |
| Waist (in) | 31.5 |
| Hips (in) | 39.5 |
| Body fat (%) | =163.205*LOG10(B3+B4-B2)-97.684*LOG10(B1)-78.387 |
Table for fat mass and lean body mass
| Weight (lb) | 176 |
| Body fat (%) | 20.4 |
| Fat mass (lb) | =B1*B2/100 |
| Lean body mass (lb) | =B1-B3 |
Table for body fat by the BMI method (for reference)
| Weight (lb) | 176 |
| Height (in) | 70 |
| Age (years) | 35 |
| BMI | =703*B1/B2^2 |
| Body fat (%, men) | =1.2*B4+0.23*B3-16.2 |
| Body fat (%, women) | =1.2*B4+0.23*B3-5.4 |
After pasting, the upper cells in column B are your inputs and the formula cells are calculated automatically.
LOG10 is the Excel function for the common logarithm (10 to what power gives this number). All lengths are in inches (5 ft 10 in = 70 in).
In the first table, for example, the body fat cell shows about 20.4 (%). Just replace the numbers in column B with your own measurements.
LOG10 is the Excel function for the common logarithm (10 to what power gives this number). All lengths are in inches (5 ft 10 in = 70 in).
In the first table, for example, the body fat cell shows about 20.4 (%). Just replace the numbers in column B with your own measurements.
How to calculate it in Google Sheets
Copy the whole table below and paste it into cell A1 in Google Sheets. It works as is.
Table for the body fat formula (men)
| Height (in) | 70 |
| Neck (in) | 15 |
| Waist (in) | 35.5 |
| Body fat (%) | =86.010*LOG10(B3-B2)-70.041*LOG10(B1)+36.76 |
Table for the body fat formula (women)
| Height (in) | 64 |
| Neck (in) | 13 |
| Waist (in) | 31.5 |
| Hips (in) | 39.5 |
| Body fat (%) | =163.205*LOG10(B3+B4-B2)-97.684*LOG10(B1)-78.387 |
Table for fat mass and lean body mass
| Weight (lb) | 176 |
| Body fat (%) | 20.4 |
| Fat mass (lb) | =B1*B2/100 |
| Lean body mass (lb) | =B1-B3 |
Table for body fat by the BMI method (for reference)
| Weight (lb) | 176 |
| Height (in) | 70 |
| Age (years) | 35 |
| BMI | =703*B1/B2^2 |
| Body fat (%, men) | =1.2*B4+0.23*B3-16.2 |
| Body fat (%, women) | =1.2*B4+0.23*B3-5.4 |
The same formulas as in Excel (including the LOG10 function) work as is. Copy the whole table, paste it into cell A1, and replace the numbers in column B with your own measurements.
How to calculate it in Python
import math
sex = "m" # "m" for male, "f" for female
age = 35 # age (years)
weight_lb = 176 # weight (lb)
height_in = 70 # height (inches), 5 ft 10 in
neck_in = 15 # neck (inches)
waist_in = 35.5 # waist (inches)
hip_in = 36 # hips (inches, used only in the formula for women)
# body fat formula (different for men and women), inch version
if sex == "m":
body_fat_percent = 86.010 * math.log10(waist_in - neck_in) - 70.041 * math.log10(height_in) + 36.76
else:
body_fat_percent = 163.205 * math.log10(waist_in + hip_in - neck_in) - 97.684 * math.log10(height_in) - 78.387
# fat mass and lean body mass
fat_mass_lb = weight_lb * body_fat_percent / 100
lean_body_mass_lb = weight_lb - fat_mass_lb
# BMI method (for reference)
bmi = 703 * weight_lb / height_in ** 2
bmi_method_percent = 1.20 * bmi + 0.23 * age - (16.2 if sex == "m" else 5.4)
print(f"Body fat (tape measure estimate): {body_fat_percent:.1f} %")
print(f"Fat mass: {fat_mass_lb:.1f} lb / Lean body mass: {lean_body_mass_lb:.1f} lb")
print(f"Body fat (BMI method, for reference): {bmi_method_percent:.1f} %")
Runs with just the standard math library. math.log10 is the common logarithm. Change the sex and measurements at the top and run it.
How to write it in LaTeX and other math languages (copy and paste)
Body fat formula (men)
P = 86.010 × log₁₀(W − N) − 70.041 × log₁₀ h + 36.76
P = 86.010\log_{10}(W - N) - 70.041\log_{10} h + 36.76
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>P</mi>
<mo>=</mo>
<mn>86.010</mn>
<msub><mi>log</mi><mn>10</mn></msub>
<mo>⁡</mo>
<mrow><mo>(</mo><mi>W</mi><mo>−</mo><mi>N</mi><mo>)</mo></mrow>
<mo>−</mo>
<mn>70.041</mn>
<msub><mi>log</mi><mn>10</mn></msub>
<mo>⁡</mo>
<mi>h</mi>
<mo>+</mo>
<mn>36.76</mn>
</mrow>
</math>
P = 86.010 log_(10)(W - N) - 70.041 log_(10)(h) + 36.76
bfp = 86.010*Log10[waist - neck] - 70.041*Log10[height] + 36.76
bfp := 86.010*log10(waist - neck) - 70.041*log10(height) + 36.76;
bfp = 86.010*log10(waist - neck) - 70.041*log10(height) + 36.76;
P = 86.010 log_10 (W - N) - 70.041 log_10 h + 36.76
Body fat formula (women)
P = 163.205 × log₁₀(W + H − N) − 97.684 × log₁₀ h − 78.387
P = 163.205\log_{10}(W + H - N) - 97.684\log_{10} h - 78.387
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>P</mi>
<mo>=</mo>
<mn>163.205</mn>
<msub><mi>log</mi><mn>10</mn></msub>
<mo>⁡</mo>
<mrow><mo>(</mo><mi>W</mi><mo>+</mo><mi>H</mi><mo>−</mo><mi>N</mi><mo>)</mo></mrow>
<mo>−</mo>
<mn>97.684</mn>
<msub><mi>log</mi><mn>10</mn></msub>
<mo>⁡</mo>
<mi>h</mi>
<mo>−</mo>
<mn>78.387</mn>
</mrow>
</math>
P = 163.205 log_(10)(W + H - N) - 97.684 log_(10)(h) - 78.387
bfp = 163.205*Log10[waist + hip - neck] - 97.684*Log10[height] - 78.387
bfp := 163.205*log10(waist + hip - neck) - 97.684*log10(height) - 78.387;
bfp = 163.205*log10(waist + hip - neck) - 97.684*log10(height) - 78.387;
P = 163.205 log_10 (W + H - N) - 97.684 log_10 h - 78.387
Fat mass and lean body mass
F = m × P ÷ 100, L = m − F
F = m \times \dfrac{P}{100}, \quad L = m - F
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>F</mi>
<mo>=</mo>
<mi>m</mi>
<mo>×</mo>
<mfrac><mi>P</mi><mn>100</mn></mfrac>
<mo>,</mo>
<mspace width="1em"/>
<mi>L</mi>
<mo>=</mo>
<mi>m</mi>
<mo>−</mo>
<mi>F</mi>
</mrow>
</math>
F = m xx P/100, L = m - F
fatMass = weight*bfp/100; leanMass = weight - fatMass
fatMass := weight*bfp/100; leanMass := weight - fatMass;
fat_mass = weight*bfp/100; lean_mass = weight - fat_mass;
F = m × P/100, L = m - F
Body fat from BMI (for reference)
P = 1.20 × BMI + 0.23 × A − 16.2 (male), P = 1.20 × BMI + 0.23 × A − 5.4 (female)
P_{\text{male}} = 1.20\,\mathrm{BMI} + 0.23A - 16.2, \quad P_{\text{female}} = 1.20\,\mathrm{BMI} + 0.23A - 5.4
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<msub><mi>P</mi><mtext>male</mtext></msub>
<mo>=</mo>
<mn>1.20</mn>
<mo>×</mo>
<mi>BMI</mi>
<mo>+</mo>
<mn>0.23</mn>
<mo>×</mo>
<mi>A</mi>
<mo>−</mo>
<mn>16.2</mn>
<mo>,</mo>
<mspace width="1em"/>
<msub><mi>P</mi><mtext>female</mtext></msub>
<mo>=</mo>
<mn>1.20</mn>
<mo>×</mo>
<mi>BMI</mi>
<mo>+</mo>
<mn>0.23</mn>
<mo>×</mo>
<mi>A</mi>
<mo>−</mo>
<mn>5.4</mn>
</mrow>
</math>
P = 1.20 BMI + 0.23 A - 16.2 (male), P = 1.20 BMI + 0.23 A - 5.4 (female)
bfpMale = 1.20*bmi + 0.23*age - 16.2; bfpFemale = 1.20*bmi + 0.23*age - 5.4
bfpMale := 1.20*bmi + 0.23*age - 16.2; bfpFemale := 1.20*bmi + 0.23*age - 5.4;
bfp_male = 1.20*bmi + 0.23*age - 16.2; bfp_female = 1.20*bmi + 0.23*age - 5.4;
P = 1.20 BMI + 0.23 A - 16.2 (male), P = 1.20 BMI + 0.23 A - 5.4 (female)
How to have ChatGPT do the calculation
You are a calculation assistant for health measures. Do the following calculation by actually running Python code, and base your answer only on the numbers from the execution result (do not answer by mental math or guessing). Use the following formulas, which estimate body fat from tape measurements and height (all lengths in inches): - Men: body fat (%) = 86.010 × log10(waist − neck) − 70.041 × log10(height) + 36.76 - Women: body fat (%) = 163.205 × log10(waist + hips − neck) − 97.684 × log10(height) − 78.387 Person: male, height 5 ft 10 in (70 in), weight 176 lb, neck 15 in, waist 35.5 in Find each of the following: 1. Body fat percentage (%, to one decimal place) 2. Fat mass (lb) = weight × body fat % / 100 3. Lean body mass (lb) = weight − fat mass Show the formulas you used and the numbers from the execution result. Also add a short note that the result is an estimate from a formula, not a medical diagnosis.
How to Use
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1Enter your numbersType the numbers you want to calculate with into the input fields
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2CalculatePress the "Calculate" button
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3Check the resultThe result appears on the spot. The same page also explains the idea behind the calculation and the formula
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