SurfaceArea
SurfaceArea[reg]
gives the surface area of the three-dimensional region reg.
SurfaceArea[{x1,…,xn},{s,smin,ssmax},{t,tmin,tmax},{u,umin,umax}]
gives the surface area of the parametrized region whose Cartesian coordinates xi are functions of s, t, u.
SurfaceArea[{x1,…,xn},{s,smin,ssmax},{t,tmin,tmax},{u,umin,umax},chart]
interprets the xi as coordinates in the specified coordinate chart.
Details and Options
- A three-dimensional region can be embedded in any dimension greater than or equal to three.
- In SurfaceArea[x,{s,smin,ssmax},{t,tmin,tmax},{u,umin,umax}], if x is a scalar, SurfaceArea returns the surface area of the parametric three-region {s,t,u,x}.
- Coordinate charts in the fifth argument of SurfaceArea can be specified as triples {coordsys,metric,dim} in the same way as in the first argument of CoordinateChartData. The short form in which dim is omitted may be used.
- The following options can be given:
-
AccuracyGoal Infinity digits of absolute accuracy sought Assumptions $Assumptions assumptions to make about parameters GenerateConditions Automatic whether to generate conditions on parameters PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PrecisionGoal Automatic digits of precision sought WorkingPrecision Automatic the precision used in internal computations
Examples
open allclose allBasic Examples (2)
Scope (12)
Special Regions (7)
Formula Regions (1)
The surface area of a ball represented as an ImplicitRegion:
Mesh Regions (2)
Derived Regions (2)
Text
Wolfram Research (2019), SurfaceArea, Wolfram Language function, https://reference.wolfram.com/language/ref/SurfaceArea.html.
CMS
Wolfram Language. 2019. "SurfaceArea." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SurfaceArea.html.
APA
Wolfram Language. (2019). SurfaceArea. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SurfaceArea.html