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Calculate The Area Of A Sector

Last updated: Saturday, June 24, 2023
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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
\(\theta\)
\(degree\)
the radius of the circle
\(r\)
\(meter\)
\(\pi\) : A mathematical constant with an infinite decimal tail
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