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.

Hold & Drag

CLOSE

The angle of the sector

\(\theta\)

\(degree\)

the radius of the circle

\(r\)

\(meter\)

\(\pi\) : A mathematical constant with an infinite decimal tail