Conicity Index Calculator

Calculate the Conicity Index to describe abdominal adiposity relative to body size. Uses waist circumference, weight, and height as a geometric reference.

Measured at navel level
in
ft
in
lbs
Conicity Index
1.248
Normal
Cylinder (1.0)Threshold (1.25)Cone (1.73)
Conicity Index
1.248
Normal (threshold: 1.25)
BMI
26.8
Body Mass Index
Waist
94.0 cm

Risk Thresholds

Risk LevelMaleFemale
Normal ← You< 1.25< 1.18
Elevated 1.25 – 1.351.18 – 1.28
High > 1.35> 1.28

Disclaimer: The Conicity Index is a screening tool for abdominal fat distribution and does not diagnose any medical condition. Consult a healthcare provider for comprehensive cardiovascular risk assessment.

Planning notes, formulas, and examples

About the Conicity Index Calculator

The Conicity Index (C-Index) compares a person’s waist circumference with the circumference of a theoretical cylinder that has the same height and weight. Valdez and colleagues proposed it in 1993 as a geometric way to describe central adiposity with an adjustment for body size.

The formula normalizes waist circumference against body size, so two people with the same BMI can still have different values if their fat distribution differs. That makes the index helpful for describing an apple-shaped body pattern versus a more peripheral fat distribution.

Research has associated higher Conicity Index values with cardiovascular and metabolic risk, but the number is best read as a screening reference rather than a diagnosis or treatment rule.

When This Page Helps

The Conicity Index measures fat distribution rather than total body mass, filling a gap that BMI leaves. Central abdominal fat is metabolically more concerning than peripheral fat, and the C-Index helps describe that pattern. It is especially useful when BMI looks normal but waist size suggests more central adiposity.

How to Use the Inputs

  1. Select your preferred unit system — imperial or metric.
  2. Enter your waist circumference measured at the navel, standing relaxed.
  3. Enter your weight.
  4. Enter your height.
  5. Review the calculated Conicity Index value and its risk context.
  6. Compare with the reference bands to understand your abdominal fat distribution.
Formula used
Conicity Index = Waist (m) / (0.109 × √(Weight (kg) / Height (m))) The denominator represents the circumference of a cylinder with density 1.05 g/cm³ (close to water) and the same height and mass as the person. The constant 0.109 derives from: 2 × √(π / (1050 × 4)) ≈ 0.109. The index ranges from 1.0 (perfect cylinder) to approximately 1.73 (maximum conicity). Values above 1.25 for men and 1.18 for women are often used as higher-reference bands.

Example Calculation

Result: Conicity Index = 1.261

An 85 kg person who is 178 cm tall with a 95 cm waist: C-Index = 0.95 / (0.109 × √(85 / 1.78)) = 0.95 / (0.109 × √47.75) = 0.95 / (0.109 × 6.910) = 0.95 / 0.7532 = 1.261. This is above the common male reference band of 1.25, suggesting greater central adiposity than a lower value would.

Tips & Best Practices

  • Measure waist circumference at the navel level while standing, breathing normally.
  • The Conicity Index is most informative when tracked over time alongside waist circumference and BMI.
  • Values close to 1.0 indicate cylindrical (balanced) fat distribution, while higher values suggest a more central pattern.
  • Even small reductions in waist circumference can meaningfully lower the C-Index.
  • Aerobic exercise can reduce abdominal fat, which tends to lower the index.
  • Combine the C-Index with waist-to-height ratio for a broader abdominal-obesity comparison.

The Cylinder Model of Body Shape

The Conicity Index rests on a geometric model. If a person’s weight were distributed uniformly along their height, their body would resemble a cylinder, and their waist circumference would match the calculated cylinder circumference. As fat accumulates centrally, the body shape deviates from this cylinder toward a more cone-like form, and the ratio of actual waist circumference to the cylinder’s circumference increases.

Clinical Evidence

Large cohort studies have shown the Conicity Index to be associated with cardiometabolic risk. Some analyses have found it performs comparably to waist-to-hip ratio and can add information beyond BMI because it specifically captures central fat patterning.

Advantages Over BMI

BMI measures total body mass relative to height and cannot distinguish between peripheral and central fat deposition. Two individuals with the same BMI — one apple-shaped and one pear-shaped — can have different metabolic risk profiles. The Conicity Index is one way to describe that difference.

Population-Specific Considerations

Optimal C-Index cut-offs vary by ethnicity. South Asian and East Asian populations may have elevated risk at lower values due to differences in body fat distribution. Athletes with well-developed core musculature may have higher waist measurements that inflate the C-Index without necessarily reflecting excessive fat. As with all anthropometric tools, clinical context is essential.

Sources & Methodology

Last updated:

Methodology

This page calculates the geometric conicity index from waist circumference, height, and weight, then places the result next to the usual sex-specific reference bands. The output is intended as a body-shape reference, not as a diagnosis. Thresholds and risk context should be interpreted alongside BMI, waist circumference, and the rest of the clinical picture.

Sources

Frequently Asked Questions

  • The Conicity Index (C-Index) is an anthropometric measure that describes how much a person’s body shape deviates from a perfect cylinder. A cylindrical body has a C-Index near 1.0, while a more cone-shaped body has higher values. It was proposed by Valdez et al. as a way to describe abdominal adiposity.