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# Calculate The Area Of A Sector

Last updated: Saturday, April 29, 2023
Select a type of sector below
Circular Sector
Elliptical Sector

The area of a sector is a measure of the region enclosed by two radii and an arc of a circle. It is commonly used in many fields, such as engineering, architecture, and physics, where circular segments or angles need to be analyzed. For example, the area of a sector can be used to calculate the amount of material needed to construct a curved surface or the amount of land enclosed by a circular fence. Additionally, the area of a sector is also relevant in fields such as finance, where it can be used to calculate the proportion of a company's total sales that come from a particular product or service.

The formula for determining the area of a sector is defined as:
$$A$$ $$=$$ $$\dfrac{\theta}{360^\circ}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$r^2$$
$$A$$: the area of the sector
$$\theta$$: The angle of the sector
$$r$$: the radius of the circle
$$\pi$$: A mathematical constant with an infinite decimal tail
The SI unit of area is: $$square \text{ } meter\text{ }(m^2)$$

## Find $$A$$

Use this calculator to determine the area of a sector when the length of its radius and its angle is given.
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The angle of the sector
$$\theta$$
$$degree$$
$$r$$
$$meter$$
$$\pi$$ : A mathematical constant with an infinite decimal tail