Circumsphere

Circumsphere[{p1,,pn+1}]
returns the Sphere[] that circumscribes the points in .

DetailsDetails

  • Circumsphere is also known as circumcircle.
  • Circumsphere gives the Sphere of smallest measure (arc length, area, etc.) that circumscribes the point .
  • Circumsphere evaluates to a Sphere[c,r] where the center c is known as the circumcenter, and radius r is known as the circumradius for the Simplex[{p1,,pn+1}].
  • Circumsphere is defined for and is affinely independent.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

A circumsphere in 2D:

In[1]:=
Click for copyable input
Out[1]=

And in 3D:

In[2]:=
Click for copyable input
Out[2]=

Surface area of a circumsphere in 3D:

In[1]:=
Click for copyable input
In[2]:=
Click for copyable input
Out[2]=

Centroid:

In[3]:=
Click for copyable input
Out[3]=
Introduced in 2014
(10.0)
Translate this page: