Equation of a sphere

This equation gives the points on the surface of a sphere of radius r centred at the origin of three-dimensional Cartesian coordinates. Shifting the centre to a point (a,b,c) replaces each coordinate with its difference from that centre.

x^2+y^2+z^2=r^2

What the symbols mean

x-coordinate of a point on the sphere
y-coordinate of a point on the sphere
z-coordinate of a point on the sphere
radius of the sphere

About this formula

  • FieldMathematics
  • TopicAnalytic geometry
  • LevelHigh school
  • Also calledsphere equation, equation of a sphere centered at origin, sphere radius r, 2-sphere equation, surface of a sphere, sphere in 3D coordinates
  • SourceWikidata Q12507

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