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# Calculate The Surface Area of A Spherical Wedge

Last updated: Saturday, April 29, 2023
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Spherical Cap
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Spherical Zone

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.
Hold & Drag
CLOSE
the radius of the parent sphere
$$r$$
$$meter$$
The angle of the wedge
$$\theta$$
$$degree$$
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