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Calculate The Surface Area of A Spherical Wedge

Last updated: Saturday, April 29, 2023
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A Spherical Wedge is a three-dimensional object that resembles a piece of pie cut from a sphere. It is defined by two spherical caps and a wedge-shaped portion in between them. The shape of a spherical wedge is determined by the radius of the sphere and the angle of the wedge.

The surface area of a spherical wedge is the area on a sphere surrounded by two half circles that meet at antipodal points. The curved surface is called a spherical lune.

Real-life examples of objects with similar shapes to a spherical wedge include a slice of watermelon, a piece of pizza, and a sliced orange.

Calculate the surface area of a spherical wedge with ease using our step-by-step online calculator.

The formula for determining the surface area of a spherical wedge is defined as:
\(SA\) \(=\) \(2\) \(\cdot\) \(r^2\) \(\cdot\) \(\theta\) \(+\) \(\pi\) \(\cdot\) \(r^2\)
\(SA\): the surface area of the spherical wedge
\(r\): the radius of the parent sphere
\(\theta\): The angle of the wedge
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 spherical wedge with the radius and the angle given.
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the radius of the parent sphere
\(r\)
\(meter\)
The angle of the wedge
\(\theta\)
\(degree\)
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