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The degree of circularity of an ellipse is quantified by eccentricity, with values between 0 to 1, where 0 is a perfect circle (waist circumference same as height) and 1 is a vertical line. [1] To accommodate human shape data in a greater range, Thomas and colleagues mapped eccentricity in a range of 1 to 20 by using the equation: [ 1 ]
An Excel spreadsheet can be used to determine the rate the apparent size of the scale changes with distance, and that value can be used to calculate the diameter of the tree given that the tree is circular in cross section and the distance to the front side of the tree is known. Girth then is calculated by multiplying the diameter by pi.
The value 75.4 = 24 π, where 24 π substitutes for factor of 12 π in the formula for a volume of frustum of a cone encompassing a full tree using one base circumference, converting it to a volume formula that uses a basal circumference that is the average of circumferences C 1 and C 2.
A corset diagram showing the lines of measurement for bust, waist, hip, and back underarm to waist. Bust/waist/hip measurements (informally called 'body measurements' or ′vital statistics′) are a common method of specifying clothing sizes.
For example, a square of side L has a perimeter of . Setting that perimeter to be equal to that of a circle imply that = Applications: US hat size is the circumference of the head, measured in inches, divided by pi, rounded to the nearest 1/8 inch. This corresponds to the 1D mean diameter.
The mid-upper arm muscle circumference (MUAMC) is an estimation of the circumference of the bone and muscle portions of the upper arm. It is derived from the MUAC and the TSF by accounting for the thickness of the subcutaneous fat that surrounds the muscle, using the following formula, with the MUAC and TSF values measured in millimetres: [ 2 ]
Body roundness index – Body scale based on waist circumference and height; Body shape – General shape of a human body; Body shape index – Human health index (Waist circumference compared to its allometric average) Body water – Water content of an animal's body; Normal weight obesity – Metabolically obese normal weight
where C is the circumference of an ellipse with semi-major axis a and semi-minor axis b and , are the arithmetic and geometric iterations of (,), the arithmetic-geometric mean of a and b with the initial values = and =.