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# Calculate The Surface Area of A Closed Spherical Sector

Last updated: Saturday, April 29, 2023
Select a type of sector below
Closed Spherical Sector
Open Spherical Sector
Spherical Cone

A closed spherical sector is a three-dimensional shape that resembles a slice of a sphere. It is created by cutting a sphere with two parallel planes that pass through its center. The resulting shape has a curved base that is a circular sector, and a curved lateral surface that converges to a point at the apex. Closed spherical sectors are commonly used in geometry and physics to model a wide range of phenomena, from celestial bodies to fluid dynamics.

A closed spherical sector is a shape that can be found in a variety of objects in nature, including some fruits like oranges and grapefruits, as well as some geological formations such as volcanic calderas. It can also be observed in architecture, where it is often used as a decorative element in domes and arches. Closed spherical sectors can also be found in astronomy, where they are used to model the shape of celestial bodies such as asteroids and planets.

Easily calculate the surface area of a closed spherical sector with step-by-step guidance using our free calculator below.

The formula for determining the surface area of a closed spherical sector is defined as:
$$SA =2$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$r$$ $$\cdot$$ $$h$$ $$+$$ $$\pi$$ $$\cdot$$ $$r_1^2$$ $$+$$ $$\pi$$ $$\cdot$$ $$r_2$$ $$\cdot$$ $$r$$
$$SA$$: 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.
Hold & Drag
CLOSE
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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