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Area#Area formulas – Size of a two-dimensional surface; Perimeter#Formulas – Path that surrounds an area; List of second moments of area; List of surface-area-to-volume ratios – Surface area per unit volume; List of surface area formulas – Measure of a two-dimensional surface; List of trigonometric identities
The surface-area-to-volume ratio has physical dimension inverse length (L −1) and is therefore expressed in units of inverse metre (m-1) or its prefixed unit multiples and submultiples. As an example, a cube with sides of length 1 cm will have a surface area of 6 cm 2 and a volume of 1 cm 3. The surface to volume ratio for this cube is thus
Roundness = Perimeter 2 / 4 π × Area . This ratio will be 1 for a circle and greater than 1 for non-circular shapes. Another definition is the inverse of that: Roundness = 4 π × Area / Perimeter 2 , which is 1 for a perfect circle and goes down as far as 0 for highly non-circular shapes.
The BRI models the human body shape as an ellipse (an oval), with the intent to relate body girth with height to determine body roundness. A simple tape measure suffices to obtain waist circumference and height. [1] [2] Waist circumference and height can be in any unit of length, as long as they both use the same one. [1] [3
The waist-to-height ratio (WHtR, [a] or WSR: waist-to-stature ratio) is the waist circumference divided by body height, both measured in the same units. WHtR is a measure of the distribution of body fat. Higher values of WHtR indicate higher risk of obesity-related cardiovascular diseases, which are correlated with abdominal obesity. [1]
A cone and a cylinder have radius r and height h. 2. The volume ratio is maintained when the height is scaled to h' = r √ π. 3. Decompose it into thin slices. 4. Using Cavalieri's principle, reshape each slice into a square of the same area. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.
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This is an accepted version of this page This is the latest accepted revision, reviewed on 18 January 2025. Relative weight based on mass and height Medical diagnostic method Body mass index (BMI) Chart showing body mass index (BMI) for a range of heights and weights in both metric and imperial. Colours indicate BMI categories defined by the World Health Organization ; underweight, normal ...