Spherical Sector Formulas

Posted In: Mathematics

In geometry, a spherical sector is a portion of a sphere defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap.

Spherical Sector


Radius of sphere: R
Radius of base of spherical sector: r
Height: h
Total surface area: S
Volume: V

  1. $S=πR(2h+r)$
  2. $V=2/3πR^2h$

The formulas are correct for both open and closed spherical sector.


Post Tags: Geometry


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