Calculate Conicity Index, waist circumference, height, or body weight from any 3 values with cm/in and kg/lb units, finding the missing one.

Conicity Index Calculator

Enter any 3 values to calculate the missing variable

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 * sqrt(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 * sqrt(BW / H)

If you leave waist circumference blank, the calculator rearranges the formula to solve for waist circumference.

H = BW / (WC / (0.109 * CI))²

If you leave height blank, the calculator rearranges the formula to solve for height.

BW = H * (WC / (0.109 * CI))²

If you leave body weight blank, the calculator rearranges the formula to solve for body weight.

Conicity Index Result Ranges

Conicity index interpretation can vary by study population, sex, age, and health outcome being evaluated. The ranges below are general reference bands, not a medical diagnosis.

Conicity index General interpretation
About 1.00 Lower abdominal concentration relative to height and weight
1.10 to 1.20 Moderate waist concentration
1.20 to 1.30 Higher abdominal concentration
Above 1.30 Very high abdominal concentration relative to height and weight

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 * sqrt(80 / 1.75))
CI = 1.2210

The conicity index is approximately 1.2210.

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 * sqrt(70 / 1.70)
WC = 0.8390 m

Convert meters to centimeters:

0.8390 * 100 = 83.90 cm

The waist circumference is approximately 83.90 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. If you provide any three, the missing one can be calculated by rearranging the same formula. If more than one value is missing, there is not enough information to solve the equation.