A spherical sector is a portion of a sphere that consists of a right cone with its apex at the center of the sphere plus a spherical zone. An open spherical sector is hollow and the inside surface area is the surface area of the inner cone.

Easily calculate the surface area of an open spherical sector with our step-by-step guidance using our free online calculator below.

The formula for determining the surface area of an open spherical sector is defined as:

\(SA =2\) \(\cdot\) \(\pi\) \(\cdot\) \(r\) \(\cdot\) \(h\) \(+\) \(\pi\) \(\cdot\) \(r_1\) \(\cdot\) \(r\) \(+\) \(\pi\) \(\cdot\) \(r_2\) \(\cdot\) \(r\)

\(SA\): the surface area of the spherical sector

\(r\): the radius of the sphere

\(r_1\): the radius of the top disk

\(r_2\): the radius of the bottom cap

\(h\): the distance between the top and bottom caps

The SI unit of surface area is: \(square \text{ } meter\text{ }(m^2)\)

## Find \(SA\)

Use this calculator to determine the surface area of a closed spherical sector with a closed circular top.

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the radius of the top disk

\(r_1\)

\(meter\)

the radius of the bottom cap

\(r_2\)

\(meter\)

the distance between the top and bottom caps

\(h\)

\(meter\)

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