Calculate the conicity index from waist circumference, weight and height in metric or imperial units, or solve for waist, weight or height.

Use the same anatomical measurement protocol when comparing results.

Optional settings

Conicity Index Formula

The conicity index estimates how much your body shape resembles a double cone, using waist circumference, height, and body weight. The calculator converts waist and height to meters and body weight to kilograms before applying the formula.

CI = WC / (0.109 × √(BW / H))
  • CI = conicity index
  • WC = waist circumference in meters
  • BW = body weight in kilograms
  • H = height in meters
  • 0.109 = constant used in the Valdez conicity index equation

If you enter waist circumference, height, and body weight, the calculator solves for conicity index.

WC = 0.109 × CI × √(BW / H)

Choose Waist circumference from index; the calculator rearranges the formula to solve for waist circumference.

H = BW / (WC / (0.109 × CI))2

Choose Height from index; the calculator rearranges the formula to solve for height.

BW = H × (WC / (0.109 × CI))2

Choose Body weight from index; the calculator rearranges the formula to solve for body weight.

Conicity Index as a Literal Ratio

Clinical cutoffs depend on the study population and outcome. The table below describes only the mathematical waist-to-reference ratio; it does not assign medical risk.

Conicity index Literal waist/reference relationship
About 1.00 Waist circumference is about the reference-cylinder circumference
1.10 to 1.20 Waist is 1.10 to 1.20 times the reference circumference
1.20 to 1.30 Waist is 1.20 to 1.30 times the reference circumference
Above 1.30 Waist is above 1.30 times the reference circumference

Unit Conversions Used

Measurement Accepted units Base unit used in formula
Waist circumference cm, m, in meters
Height cm, m, in meters
Body weight kg, lb kilograms

Example Calculations

Example 1: Calculate conicity index

Suppose your waist circumference is 90 cm, height is 175 cm, and body weight is 80 kg.

Convert the length values to meters:

  • WC = 90 cm = 0.90 m
  • H = 175 cm = 1.75 m
  • BW = 80 kg
CI = 0.90 / (0.109 × √(80 / 1.75))
CI = 1.2212

The conicity index is approximately 1.2212.

Example 2: Calculate waist circumference

Suppose the conicity index is 1.20, height is 1.70 m, and body weight is 70 kg.

WC = 0.109 × 1.20 × √(70 / 1.70)
WC = 0.8393 m

Convert meters to centimeters:

0.8393 × 100 = 83.93 cm

The waist circumference is approximately 83.93 cm.

FAQ

What does a higher conicity index mean?

A higher conicity index means waist circumference is larger relative to height and body weight. In practical terms, it suggests more abdominal concentration of body size. It does not diagnose a condition by itself, but it can be used along with other health measurements.

Where should waist circumference be measured?

Waist circumference is commonly measured around the abdomen at a consistent anatomical point, such as midway between the lowest rib and the top of the hip bone, or at the level of the navel depending on the measurement protocol being used. Use the same method each time if you are comparing results over time.

Why does the calculator require exactly three values?

The conicity index equation has four variables: waist circumference, height, body weight, and conicity index. Select the value to solve, then enter the three visible required measurements. The chosen result is calculated by rearranging the same formula; it is not selected by leaving an arbitrary field blank.