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Body Mass Index (BMI) and Body Measurements

Body Mass Index (BMI) is your mass in kilograms divided by your height in metres, squared. It gives one number that sorts adults into underweight, healthy, overweight or obese. Coaches also use waist-hip ratio, skinfold thickness and body type (somatotype) to understand the body. These are tests and measurements; evaluation means judging what the numbers say.

🎬 Step-by-step story

  1. A test is a task or tool. Measurement is the number we get. Evaluation is deciding what the number means. Here the tape and scale measure; the coach evaluates.
  2. BMI = mass ÷ (height × height). This person has a mass of 64 kg and a height of 1.6 m. 1.6 × 1.6 = 2.56. 64 ÷ 2.56 = 25.
  3. Put the BMI on the coloured bar. Below 18.5 is underweight, 18.5 to 24.9 is healthy, 25 to 29.9 is overweight, 30 or more is obese (for adults).
  4. Waist-hip ratio = waist ÷ hip. A waist of 80 cm and hips of 100 cm give 0.80. A high ratio means more fat around the belly, which is riskier.
  5. Skinfold calipers pinch the skin to estimate body fat. Body types (somatotypes) are endomorph (round), mesomorph (muscular) and ectomorph (thin and long).
  6. Your turn: move the mass and height sliders. Watch the figure, the BMI number and the coloured zone change.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why do we square the height?

Taller people are bigger in every direction, so mass grows faster than height. Squaring height makes BMI fairer between short and tall people.

Is a BMI of 25 bad?

It is the start of the overweight zone for adults. It is a warning sign, not an illness. Check waist size and fitness too.

Why is belly fat worse than hip fat?

Fat around the belly sits close to organs and is linked with diabetes and heart disease. That is why a high waist-hip ratio is a risk sign.

Can I change my somatotype?

Your basic frame comes from your genes. Training and diet can change fat and muscle, so your type numbers can shift a little.

Can I use the adult chart for a 14-year-old?

No. Children's BMI is compared with charts for their age and sex. Use the slider only to practise the maths.

Test, measurement and evaluation

These three words are often mixed up. They are three different steps.

Why they matter

Body Mass Index (BMI)

BMI compares body mass with height. Formula: BMI = mass (kg) ÷ height (m)². The unit is kg/m².

Steps: 1) change height to metres (160 cm = 1.6 m). 2) square it (1.6 × 1.6 = 2.56). 3) divide the mass by that number.

Adult BMI chart (WHO)

Some Asian health bodies, including in India, use lower cut-offs (overweight from 23) because risk starts earlier. For children and teens, BMI is compared with age-and-sex charts (percentiles), not with the adult chart.

Limits of BMI

BMI cannot tell muscle from fat. A muscular athlete may show "overweight" while being very fit. It also says nothing about where the fat is.

Waist-hip ratio and skinfold measurement

Waist-hip ratio (WHR)

Measure the waist at its narrowest point (around the belly button) and the hips at their widest point, in the same unit. WHR = waist ÷ hip. It has no unit.

Common risk guide: above about 0.90 for men and 0.85 for women means more belly fat and higher risk of heart disease and diabetes.

Skinfold test

A tool called a skinfold caliper pinches a fold of skin and the fat under it and measures its thickness in millimetres. Common sites are the triceps (back of the upper arm), biceps, below the shoulder blade (subscapular) and above the hip bone (suprailiac). The sum of several sites is put into a formula or table to estimate body fat percentage. Use the right side, take each reading 2 times and use the average.

Somatotypes (body types)

A somatotype is a person's body shape type. The scientist W. H. Sheldon described three types:

Most people are a mix. A somatotype is written as three numbers from 1 to 7, like 2-6-2 (mostly mesomorph).

Measuring health-related fitness

Health-related fitness has five parts. Each has a simple test:

Use the same method each time, warm up first, and record the results to compare later.

Try it at home

With an adult's help, measure your height (stand against a wall, no shoes) and your mass on a scale. Work out your BMI on paper, then check it with the slider in the 3D. Next, measure your waist and hips with a soft tape and find your waist-hip ratio. Remember: for students under 18, a doctor uses an age chart, so treat your number as practice, not a diagnosis.

Key formulas and definitions

Worked examples

1. Riya has a mass of 50 kg and a height of 1.60 m. Find her BMI and category (adult chart).

Height² = 1.6 × 1.6 = 2.56. BMI = 50 ÷ 2.56 ≈ 19.5 kg/m². This is in 18.5–24.9, so healthy.

2. A man is 175 cm tall and weighs 92 kg. Find his BMI.

175 cm = 1.75 m. 1.75² = 3.0625. BMI = 92 ÷ 3.0625 ≈ 30.0 kg/m². This is 30 or above, so obese on the adult chart.

3. A woman's waist is 84 cm and her hips are 96 cm. Find her waist-hip ratio. Is it in the higher-risk range?

WHR = 84 ÷ 96 = 0.875. For women, above 0.85 is higher risk, so yes, she should reduce belly fat.

4. What mass would a 1.80 m tall adult have at a BMI of exactly 25?

Mass = BMI × height² = 25 × 3.24 = 81 kg.

Common mistakes

Practice quiz

1. What is the unit of BMI?
2. An adult has a BMI of 27. Which category?
3. Waist 90 cm, hip 100 cm. Waist-hip ratio is:
4. Which body type is thin with long limbs?
5. Which tool measures skinfold thickness?

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

How do I calculate BMI?

Divide your mass in kilograms by your height in metres squared. Example: 64 kg ÷ (1.6 × 1.6) = 25.

What is a healthy BMI for adults?

18.5 to 24.9 kg/m² on the WHO chart. Some Asian guidelines use 18.5 to 22.9.

What are the three somatotypes?

Endomorph (round, stores fat), mesomorph (muscular) and ectomorph (thin, long limbs).

Where this is taught

CBSE (India)Class 11Test, Measurement and Evaluation

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