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A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...
Specific surface area (SSA) is a property of solids defined as the total surface area (SA) of a material per unit mass, [1] (with units of m 2 /kg or m 2 /g). Alternatively, it may be defined as SA per solid or bulk volume [ 2 ] [ 3 ] (units of m 2 /m 3 or m −1 ).
The formula for the surface area of a sphere is more difficult to derive: because a sphere has nonzero Gaussian curvature, it cannot be flattened out. The formula for the surface area of a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is: [6] A = 4πr 2 (sphere), where r is the radius of the sphere.
In physiology and medicine, the body surface area (BSA) is the measured or calculated surface area of a human body.For many clinical purposes, BSA is a better indicator of metabolic mass than body weight because it is less affected by abnormal adipose mass.
Since the area of the rectangle is ab, the area of the ellipse is π ab/4. We can also consider analogous measurements in higher dimensions. For example, we may wish to find the volume inside a sphere. When we have a formula for the surface area, we can use the same kind of "onion" approach we used for the disk.
The total area can thus be obtained ... of all solids having a given surface area, the sphere is the one having the greatest volume. ... The volume and area formulas ...
5% body surface area for each arm; 20% BSA for each leg; 50% for the trunk, and; 2% for the head. Other studies have found that the rule of nines tends to over-estimate total burn area, [5] and that ratings can be subjective, [6] but that it can be performed quickly and easily, and provide reasonable estimates for initial management of burn ...
The Lund and Browder chart is a tool useful in the management of burns for estimating the total body surface area affected. It was created by Dr. Charles Lund, Senior Surgeon at Boston City Hospital, and Dr. Newton Browder, based on their experiences in treating over 300 burn victims injured at the Cocoanut Grove fire in Boston in 1942.